Question

These are. two metal bars of length 120
cm and 225 cm. shost bats Of equal
length are cut from both metal bars.
find the largest possible length
of each shoot bar


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Answer 1

Answer:

Given:

There are two metal bars of lengths 72cm and 96cm.

To find:

The largest possible length to cut them in equal parts.

Solution:

1) As per the need for the condition of the question we have to find the HCF of the given numbers.

HCF[72,96] we will find it by the prime factorization

72 = 2×2×2×3×3

96 = 2×2×2×2×2×3

so the HCF is 2×2×2×3 = 24

2) If we cut the first bar of 24cm length then we get 3 bars of the same length and in the second we get 4 of the same length.

The largest possible length to cut them in equal parts is 24 cm.