Question

find the HCF of 30,42

Answer 1

30 = 2×3×5
42 = 2×3×7
HCF =2×3=6

Answer 2

Answer:

The HCF of 30 and 42 is 6.

Step-by-step explanation:

Given: The numbers are 30 and 42.

We have to find the HCF of the above numbers.

• As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
• HCF is also known as the greatest common factor.

We are solving in the following way:

We have,

The numbers are 30 and 42.

First, we will find the factors of the above numbers.

The factors of 30 are: $1, 2, 3, 5, 6, 10, 15, 30$

The factors of 42 are: $1, 2, 3, 6, 7, 14, 21, 42$

 From the above, we can see that 6 is the highest number among all the common factors of the given numbers.

So, the greatest common factor(HCF) is 6.