{"id":648597,"date":"2023-06-27T01:08:42","date_gmt":"2023-06-26T19:38:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-method-are\/"},"modified":"2025-06-26T17:34:57","modified_gmt":"2025-06-26T12:04:57","slug":"the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-method-are","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-metho\/","title":{"rendered":"The HCF and LCM of 612 and 1314 by prime factorization method are:"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The HCF and LCM of 612 and 1314 by prime factorization method are:","custom_permalink":"question\/mathematics\/the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-metho\/"},"categories":[],"acf":{"question":"

The HCF and LCM of 612 and 1314 by prime factorization method are:<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\"><\/spanstyle=\"-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:normal\">","options":[{"option":"18 and 44676","correct":true},{"option":"9 and 612","correct":false},{"option":"36 and 73","correct":false},{"option":"18 and 73 <\/span>","correct":false}],"solution":"It is given that the numbers are 612 and 1314.<\/span>
Prime factorization of the numbers:<\/span>
\"\"HCF = Product of common factors of both the numbers<\/span>
\u21d2<\/span> HCF =2<\/span><\/span>\"\"3<\/span>\"\"3<\/span>
\u21d2<\/span> HCF = 18<\/span><\/span>
LCM = Product of the prime factors with the greatest powers involved in the numbers.<\/span>
\u21d2<\/span> LCM = 2<\/span><\/span>\"\"2<\/span>\"\"3<\/span>\"\"3<\/span>\"\"17<\/span>\"\"73<\/span>
\u21d2<\/span> LCM = 44676<\/span><\/span>
Hence, HCF and LCM of 612 and 1314 are 18 and 44676 respectively.<\/span>
Hence, the correct option is 1.<\/span>
 <\/span>","subject":"Mathematics"},"yoast_head":"\nThe HCF and LCM of 612 and 1314 by prime factorization method are: - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"The HCF and LCM of 612 and 1314 by prime factorization method are:\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-metho\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The HCF and LCM of 612 and 1314 by prime factorization method are: - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"The HCF and LCM of 612 and 1314 by prime factorization method are:\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/the-hcf-and-lcm-of-612-and-1314-by-prime-factorization-metho\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-26T12:04:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The HCF and LCM of 612 and 1314 by prime factorization method are: - 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