Question

find the greatest number that is divisible by 144 264 and 312​

Answer 1

Answer:

Assumption:

Greatest number=HCF of the numbers

Prime factors of 144=2×2×2×2×3×3

Prime factors of 264=2×2×2×3×11

Prime factors of 312=2×2×2×3×13

Common thing=2×3=6

Hence,the greatest number divisible by 144,264,312=6