Name: Questions on HCF
Uploaded: 2019-07-19
Duration: 16 min 56 s
Description: In this video, we will cover the definition, properties and different types methods used to find out the Highest common factor (HCF). This video will be help...

Question

Find the HCF of the following numbers using the division method.

$658, 940, 1128$

Accepted Answer

We are asked to find the HCF of $658, 940, 1128$ using the division method.

When we have three numbers to find the HCF between them, we will first find the HCF of any two numbers.

Then, we will do long division again with their HCF and the third number, to obtain the actual HCF.

Let us find out the HCF between the first two numbers $658$ and $940$ .

The division is carried out by considering the remainder of first step as the divisor of the second step and the divisor of the first step as the dividend of the second step. This process is continued, until a zero remainder is obtained.

We know that the HCF of the numbers will be the last divisor for which the remainder is $0$ in the division.

The remainder becomes $0$ , when the divisor is $94$ .

Hence, the HCF of $658$ and $940$ is $94$ .

Now, let us do the long division with the third number, $1128$ by $94$ to find the actual HCF.

Here, $1128$ is the dividend and the HCF of previous two numbers, $94$ is the divisor. We need to perform the division until zero remainder is obtained.

The remainder becomes $0$ in the first step itself.

Hence, the HCF of $658, 940, 1128$ is $94$ .

Find the HCF of the following numbers using the division method.

$658, 940, 1128$

Important Questions on Factors and Multiples

Learn and Prepare for any exam you want !

Find the HCF of the following numbers using the division method. 658, 940, 1128

Important Questions on Factors and Multiples

Learn and Prepare for any exam you want !

Find the HCF of the following numbers using the division method.

$658, 940, 1128$