Question

what is the h. c. f of 36 and 144​

Answer 1

Answer:

Answer: HCF of 36 and 144 is 36

The highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

Explanation:

We will discuss two methods to find HCF of 36 and 144

Listing the common factors method

Long division Method

Method 1: Calculate HCF(36,144) by Listing the Common Factors

1. In this method, we list all the factors of 36 and 144, then identify the common factors. The highest among the common factors is the HCF of 36 and 144.

Here 36 is itself the factor of 144. So the highest common divisor of both is 36.

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Common Factors of 36 and 144: 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest of all the common factors of 36 and 144 is 36

HCF of 36 and 144 is 36

Method 2: Calculate HCF(36,144) by Long Division

1. Step 1: Divide 144 by 36 and check the remainder.
2. Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
3. Step 3: Continue till you get remainder as 0

HCF of 36 and 144 by division method

HCF of 36 and 144 is the same, irrespective of the method we opt for.

Therefore, HCF of 36 and 144 is 36