GCD of 970, 658, 36, 637 Calculator

Given Input numbers are 970, 658, 36, 637

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 970, 658, 36, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 658, 36, 637 is 1.

Therefore, GCD of numbers 970, 658, 36, 637 is 1

Given Input Data is 970, 658, 36, 637

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 637 is 7 x 7 x 13

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(970, 658) = 319130

GCD(970, 658) = ( 970 x 658 ) / 319130

GCD(970, 658) = 638260 / 319130

GCD(970, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 637

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

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

GCD(2, 637) = 1274 / 1274

GCD(2, 637) = 1

GCD of 970, 658, 36, 637 is 1

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• GCD of 992, 130, 86, 711
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1. What is the GCD of 970, 658, 36, 637?

GCD of 970, 658, 36, 637 is 1

2. Where do I get the detailed procedure to find GCD of 970, 658, 36, 637?

You can find a detailed procedure to find GCD of 970, 658, 36, 637 on our page.

3. How to find GCD of 970, 658, 36, 637 on a calculator?

You can find the GCD of 970, 658, 36, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.