Question

Using division algorithm find the largest number which divide the three numbers 45 , 72 and 117

Answer 1

take the LCM of 45 , 72 and 117

Answer 2

Answer:

Largest number that divides the three numbers 45, 72, 117 is 9.

Step-by-step explanation:

Given three numbers:45, 72, 117

Let's first take two numbers and apply division algorithm: 117, 72

117 = 72 * 1 + 45

72 = 45 * 1 + 27

45 = 27 *1 + 18

27 = 18*1 + 9

18 = 9*2 +0

Here, 9 is H.C.F of 117 and 72.

Now, let's repeat for 45 and 9.

45 = 9*5 + 0

So, H.C.F = 9