Question

find hcf of 60and100

Answer 1

60 = 2×2×3×5
100 = 2×2×5×5
hcf = 2×5 ×2 = 20

Answer 2

Answer:

The HCF of 60 and 100 is 20.

Step-by-step explanation:

Given: The numbers are 60 and 100.

We have to find the HCF of the above numbers.

• For this, we will first find the factors of the above numbers.
• And then, the largest positive integer that divides each of the given integers will be the HCF of the above numbers.

We are solving in the following way:

We have,

The numbers are 60 and 100​​.

The factors of the above numbers will be:

The factors of 60 are: $1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$

The factors of 100 are: $1, 2, 4, 5, 10, 20, 25, 50, 100$

From the above, we can see that 20 is the largest positive integer that divides each of the above integers

So, the greatest common factor(HCF) is 20.