Question

Find the greatest number which exactly divides 735 and 1155

Answer 1

The greatest number which exactly divides 735 and 1155 is 105.

Explanation:

Consider the provided numbers 735 and 1155.

The prime factorization of the number 735 is:

735=3×5×7×7

The prime factorization of the number 1155 is:

1155=3×5×7×11

The greatest common multiple of the numbers 735 and 1155 is:

3×5×7=105

Hence, the greatest number which exactly divides 735 and 1155 is 105.

Answer 2

1155/735 =1 with remainder of 420

735/420 = 1 with remainder of 315

420/315 = 1 with remainder of 105

315/105 = 3 with no remainder

so 105 is the largest number