GCD of 100, 951, 72, 961 Calculator

Given Input numbers are 100, 951, 72, 961

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 100, 951, 72, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 951, 72, 961 is 1.

Therefore, GCD of numbers 100, 951, 72, 961 is 1

Given Input Data is 100, 951, 72, 961

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 951 is 3 x 317

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(100, 951) = 95100

GCD(100, 951) = ( 100 x 951 ) / 95100

GCD(100, 951) = 95100 / 95100

GCD(100, 951) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 100, 951, 72, 961 is 1

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• GCD of 759, 131, 21, 855
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1. What is the GCD of 100, 951, 72, 961?

GCD of 100, 951, 72, 961 is 1

2. Where do I get the detailed procedure to find GCD of 100, 951, 72, 961?

You can find a detailed procedure to find GCD of 100, 951, 72, 961 on our page.

3. How to find GCD of 100, 951, 72, 961 on a calculator?

You can find the GCD of 100, 951, 72, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.