GCD of 706, 953, 868, 961 Calculator

Given Input numbers are 706, 953, 868, 961

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 706, 953, 868, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 953, 868, 961 is 1.

Therefore, GCD of numbers 706, 953, 868, 961 is 1

Given Input Data is 706, 953, 868, 961

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 706 is 2 x 353

Prime Factorization of 953 is 953

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 961 is 31 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(706, 953) = 672818

GCD(706, 953) = ( 706 x 953 ) / 672818

GCD(706, 953) = 672818 / 672818

GCD(706, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 706, 953, 868, 961 is 1

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1. What is the GCD of 706, 953, 868, 961?

GCD of 706, 953, 868, 961 is 1

2. Where do I get the detailed procedure to find GCD of 706, 953, 868, 961?

You can find a detailed procedure to find GCD of 706, 953, 868, 961 on our page.

3. How to find GCD of 706, 953, 868, 961 on a calculator?

You can find the GCD of 706, 953, 868, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.