Correct Answer - Option 3 : 6
Given:
The numbers are 30, 60 and 72
Concept used:
HCF(highest common factor): this is the largest positive integer that divides each integer. This is sometimes called the greatest common divisor(G.C.D)
Calculation:
Factor of 30 = 1 × 2 × 3 × 5
Factor of 60 = 1 × 2 × 2 × 3 × 5
⇒ 1 × 22 × 3 × 5
Factor of 72 = 1 × 2 × 2 × 2 × 3 × 3
⇒ 1 × 23 × 32
So from the above, we can say that the highest common integer = 2 × 3
⇒ 6
Then HCF of 30, 60 and 72 is 6
∴ The HCF of 30, 60 and 72 is 6