Question

Find the greatest number that will divide 315,504 and 232 exactly

Answer 1

Answer:

Greatest number is 1

Since the number has to divide 315, 504 and  232 exactly the number will need to be a factor of all the three numbers.

We know that such number is known as the HCF (highest common factor).

We can find the HCF by doing prime factorization.

By doing Prime factorization of the numbers:

315 = 3 × 3 × 5 × 7

504 = 2 × 2 × 2 × 3 × 3 × 7

232 = 2 × 2 × 2 × 29

We find that they do not have a common factor other than 1.

Thus the greatest number that will divide 315, 504 and 232 is 1.

Hope you are satisfied by the answer