GCD of 972, 202, 422, 499 Calculator

Given Input numbers are 972, 202, 422, 499

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 972, 202, 422, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 202, 422, 499 is 1.

Therefore, GCD of numbers 972, 202, 422, 499 is 1

Given Input Data is 972, 202, 422, 499

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 422 is 2 x 211

Prime Factorization of 499 is 499

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(972, 202) = 98172

GCD(972, 202) = ( 972 x 202 ) / 98172

GCD(972, 202) = 196344 / 98172

GCD(972, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 499

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

LCM(2, 499) = 998

GCD(2, 499) = ( 2 x 499 ) / 998

GCD(2, 499) = 998 / 998

GCD(2, 499) = 1

GCD of 972, 202, 422, 499 is 1

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• GCD of 595, 567, 113, 874
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1. What is the GCD of 972, 202, 422, 499?

GCD of 972, 202, 422, 499 is 1

2. Where do I get the detailed procedure to find GCD of 972, 202, 422, 499?

You can find a detailed procedure to find GCD of 972, 202, 422, 499 on our page.

3. How to find GCD of 972, 202, 422, 499 on a calculator?

You can find the GCD of 972, 202, 422, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.