Question

Find the greatest number , which divides 2665,984 and 2784 exactly

Answer 1

Step-by-step explanation:

find the greatest number which divide 2665 ,984,and 2788

Answer 2

Given: Three numbers 2665, 984 and 2784

To find: The greatest number which divides these numbers exactly

Solution: The greatest number that can divide the given numbers without leaving any remainder is the Highest Common Factor of these numbers.

Calculating H.C.F. using Prime factorization method:

2665 = 5 × 13 × 41 × 1

984 = 2 × 2 × 2 × 3 × 41 × 1

2784 = 2 × 2 × 2 × 2 × 2 × 3 × 29 × 1

The only common factor of these numbers is 1.

H.C.F. is 1.

Hence, the largest number that divides these given numbers exactly is 1.