[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359206-105":59,"doc-detail-359206-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","gcf-and-lcm-mixed-practice-a","GCF and LCM - Mixed Practice A","","This document provides a comprehensive mixed practice worksheet focused on calculating the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of various number pairs. Designed for students, the material includes twelve standard arithmetic problems and a real-world challenge application involving garden hose lengths and irrigation schedules. Detailed answers and step-by-step explanations are provided to assist with learning assessment and mastery of these fundamental number theory concepts.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/gcf-and-lcm-mixed-practice-a/359206/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/gcf-and-lcm-mixed-practice-a/359206.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the difference between GCF and LCM?","Question",{"text":113,"@type":114},"GCF stands for Greatest Common Factor, the largest factor shared by two numbers, while LCM stands for Least Common Multiple, the smallest multiple shared by two numbers.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find the longest piece length for the garden hoses?",{"text":118,"@type":114},"To find the longest equal-length pieces for a 42-foot and 56-foot hose, you calculate the GCF of 42 and 56, which is 14 feet.",{"name":120,"@type":111,"acceptedAnswer":121},"When will the two watering schedules of 6 and 9 days align?",{"text":122,"@type":114},"The schedules will align at the Least Common Multiple (LCM) of 6 and 9, which is 18 days.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},359206,1790479389,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:    \nGCF & LCM—Mixed Practice (A)  \nDirections: Find the GCF or LCM of each pair. Read the label carefully before solving. Remember: GCF = Greatest Common Factor (largest factor shared by both numbers) . LCM = Least Common Multiple (smallest multiple shared by both numbers) .  \n1. GCF (12, 18) =   7. GCF (16, 24) =    \n2. LCM (4, 6) =   8. LCM (8, 12) =    \n3. GCF (24, 36) =   9. GCF (20, 30) =    \n4. LCM (5, 8) =   10. LCM (7, 14) =    \n5. GCF (15, 25) =   11. GCF (42, 56) =    \n6. LCM (6, 9) =   12. LCM (9, 15) =    \n13. Challenge Problem  \nA gardener has two garden hoses: one is 42 feet long and one is 56 feet long.  \nShe wants to cut both into equal-length pieces with no waste.  \na) Find the GCF of 42 and 56. What is the longest possible piece length?    \nb) Find the LCM of 6 and 9.  \nIf she waters every 6 or 9 days, when do both schedules align?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) GCF (12, 18) = 6  \n2.) LCM (4, 6) = 12  \n3.) GCF (24, 36) = 12  \n4.) LCM (5, 8) = 40  \n5.) GCF (15, 25) = 5  \n6.) LCM (6, 9) = 18  \n7.) GCF (16, 24) = 8  \n8.) LCM (8, 12) = 24  \n9.) GCF (20, 30) = 10  \n10.) LCM (7, 14) = 14  \n11.) GCF (42, 56) = 14  \n12.) LCM (9, 15) = 45  \n13.) Challenge Problem:  \na) GCF(42, 56) = 14 feet (42=2×3×7, 56=2³ ×7, GCF=2×7=14)  \nb) LCM(6, 9) = 18 days (multiples: 6,12,18 ... and 9,18 ... → LCM=18)  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaioG0LwZ35u3F","https://ap.wps.com/l/cbCaioG0LwZ35u3F","pdf",1044901,"English","# Practice Problems\n## Challenge Problems\n# Answer Key","[{\"question\":\"What is the difference between GCF and LCM?\",\"answer\":\"GCF stands for Greatest Common Factor, the largest factor shared by two numbers, while LCM stands for Least Common Multiple, the smallest multiple shared by two numbers.\"},{\"question\":\"How do you find the longest piece length for the garden hoses?\",\"answer\":\"To find the longest equal-length pieces for a 42-foot and 56-foot hose, you calculate the GCF of 42 and 56, which is 14 feet.\"},{\"question\":\"When will the two watering schedules of 6 and 9 days align?\",\"answer\":\"The schedules will align at the Least Common Multiple (LCM) of 6 and 9, which is 18 days.\"}]","GCF and LCM - Mixed Practice A | PDF",1790136409]