Question

6. Find the greatest number that will divide 108, 144 and 216 without any remainder

Answer 1

Step-by-step explanation:

108 = 12×9 = 3×4×3×3 = 36× 3

144 = 12×12 = 3×4×3×4 = 36×4

216= 8×27 = 8×9×3 = 36×6

hcf (108,144, 216) = 36

Answer 2

Given :

Three numbers are given : 108 , 144  , 216

To Find :

The greatest number that will divide 108, 144 and 216.

Step-by-step explanation:

To solve this question , we need to check factors divisible by each of the given number , let's check them one by one :

108 = 2 x 2 x 3 x 3 x 3

144 = 2 x 2 x 2 x 2 x 3 x 3

216 = 2 x 2 x 2 x 3 x 3 x 3

Common multiples in all the products : = 2 x 2 x 3 x 3= 36

Hence, the largest number divisible by 108 , 144  , 216 = 36

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