Correct Answer - Option 1 : D
Given:
Numbers given are 72, 108 and 180.
Calculation:
We have to find out the HCF of 72, 108 and 180.
72 can be expressed as 2 × 2 × 2 × 3 × 3
108 can be expressed as 2 × 2 × 3 × 3 × 3
180 can be expressed as 2 × 2 × 5 × 3 × 3
As we can see, all numbers have the combination of (2 × 2 × 3 × 3) a factor.
Which means that (2 × 2 × 3 × 3) which is equal to 36 is HCF of 72, 108 and 180.
∴ The value of HCF of 72, 108 and 180 is 36.