Question

Find the HCF of 1760,4048,3632,7608

Answer 1

Answer:

To find out HCF of three given numbers using division method, Step 1: Find out HCF of any two numbers. Step 2: Find out the HCF of the third number and the HCF obtained in step 1. Step 3: HCF obtained in step 2 will be the HCF of the three numbers.

Answer 2

Answer:

The HCF of 1760, 4048, 3632, and 7608 is 8.

Step-by-step explanation:

Given: The numbers are 1760, 4048, 3632, and 7608.

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 1760, 4048, 3632, and 7608.

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

The factors of 1760 are: $1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760$

The factors of 3632 are: $1, 2, 4, 8, 16, 227, 454, 908, 1816, 3632$

The factors of 4048 are: $1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048$

The factors of 7608 are: $1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608$

From the above, we can see that 8 is the highest number among all the common factors of the given numbers.

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