Question

Find the largest number which is a factor of each of the numbers 504, 792and 1080

Answer 1

Solution -

H.C.F of 504, 792 and 1080

Prime factorization of 504 = 2 × 2 × 2 × 3 × 3 × 7

Prime factorization of 792 = 2 × 2 × 2 × 3 × 3 × 11

Prime factorization of 1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5

Common factors = 2 × 2 × 2 × 3 × 3

H.C.F. of 504, 792 and 1080

= 2 × 2 × 2 × 3 × 3

= 72

Hence, 72 is the largest number which is a factor of each of the numbers 504, 792 and 1080.
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Answer 2

Hi there!

The largest number which is a factor of 504,792 and 1080 is the HCF(504,792,1080).

So,
504=2×2×2×3×3×7
792=2×2×2×3×3×11
1080=2×2×2×3×3×3×5.

HCF=2×2×2×3×3
=72.