Math, asked by agggeeta40571, 11 months ago

The three pieces of timber 42 metre 49 and 63 long have to be divided into plants of the same length what is the Greatest possible length of each plank

Answers

Answered by Samridhisejal
0

Answer:51m

Step-by-step explanation:

Answered by Dɪʏᴀ4Rᴀᴋʜɪ
2

The 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.

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