Question

what is the least number of cut pieces of equal length that can be cut out of two lengths 10m 857mm and 15m 87mm?

Answer 1

To find the least number of cut pieces of equal length, we need to find the H.C.F of the two numbers.

For ease of calculation, let us first convert the measurement into millimetre.

10m 857mm = 10857mm

15m 87mm = 15087mm

Now, let’s find the H.C.F of the two lengths

10857 = 3 x 7 x 11 x 47

15087 = 3 x 47 x 107

H.C.F or G.C.F = 3 x 47 = 141

So, length of each piece that is cut is 141 mm

To find the least number of cut pieces of equal lengths, divide the two numbers by 141 and sum it.

10857 ÷ 141 = 77

15087 ÷ 141 = 107

77 + 107 = 184

Therefore, least number of cut pieces of equal length is 184