Question

find the largest number which is a factor of each of the number 504 792 and 1080 in prime factorization method​

Answer 1

Answer:

  The largest number which is a factor of 504, 792, 1080 is 72.

Solution:

1st term

= 504

= 2 × 2 × 2 × 3 × 3 × 7

2nd term

= 792

= 2 × 2 × 2 × 3 × 3 × 11

3rd term

= 1080

= 2 × 2 × 2 × 3 × 3 × 15

Then gcd (504, 792, 1080)

  = 2 × 2 × 2 × 3 × 3

= 72

Therefore, the largest number which is a factor of each of 504, 792 and 1080 is 72.

Extra:

If we want to find the smallest number which is divisible by each of 504, 792 and 1080, we find the lcm of the numbers. This is given by

= 2 × 2 × 2 × 3 × 3 × 7 × 11 × 15

= 83160

Answer 2

Answer:

72

Step-by-step explanation:

the largest number is a factor of each of the number 504,792,1080 in the prime factorization method.

72