three pieces of timber 42m, 49m and 63m long have to be divided into planks of the same length.. what is the greatest possible length of each plank????????
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Step-bhe lengths of three pieces of timber are 42m, 49m and 63m respectively. We have to divide the timber into equal length of planks. ∴ Greatest possible length of each plank = HCF (42, 49, 63) Prime factorization: 42 = 2 × 3 × 7 49 = 7 × 7 63 = 3 × 3 × 7 ∴HCF = Product of the smallest power of each common prime factor involved in the numbers = 7 Hence, the greatest possible length of each plank is 7m.Read more on Sarthaks.com - https://www.sarthaks.com/126681/three-pieces-of-timber-42m-49m-and-63m-long-have-to-be-divided-into-planks-of-the-same-lengthy-step explanation:
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