Question

find the hcf of 56and120

Answer 1

8Is the HCF of numbers 56 and 120

Answer 2

Answer:

The HCF of 56 and 120​ will be 8.

Step-by-step explanation:

Given: The numbers are 56 and 120​.

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 56 and 120​​.

The factors of the above numbers will be:

The factors of 56 are: $1, 2, 4, 7, 8, 14, 28, 56$

The factors of 120 are: $1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120$

From the above, we can see that 8 is the largest positive integer that divides each of the above integers

So, the greatest common factor(HCF) is 8.