Question

find the largest number which is a factor of each of the numbers 504,792,1080.

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.

Answer.

Answer 2

H.C.F: Highest Common Factor

Firstly , We have to find the H.C.F of 504,792 & 1080 to find the largest number...

H.C.F of 504, 792 and 1080

Prime factorization of 504 = 2 × 2 × 2 × 3 × 3 × 7= 2³×3²×7

Prime factorization of 792 = 2 × 2 × 2 × 3 × 3 × 11 =2³×3²×11

Prime factorization of 1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5= 2³×3³×5

Common factors are = 2³×3²
=2 × 2 × 2 × 3 × 3

H.C.F.= 2 × 2 × 2 × 3 × 3

= 72

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

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Hope this will help you..