Question

Find the greatest number that divides each of 180, 225 and 315 completely.​

Answer 1

Step-by-step explanation:

The greatest number that divides each of 180,225 and 315 will be the H.C.F. of 180,225 and 315

The prime factors 180,225 and 315 are as follows:

180=2×2×3×3×5

225=3×3×5×5

315=3×3×5×7

The common factors of 180,225 and 315=3×3×5=45

∴H.C.F. of 180,225 and 315=45

Hence, the greatest number that divides each of 180, 225 and 315 completely is 45.

Answer 2

Answer:

Hence, the greatest number that divides each of 180, 225 and 315 completely is 45.