GCD of 938, 889, 31, 422 Calculator

Given Input numbers are 938, 889, 31, 422

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 938, 889, 31, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 889, 31, 422 is 1.

Therefore, GCD of numbers 938, 889, 31, 422 is 1

Given Input Data is 938, 889, 31, 422

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 889 is 7 x 127

Prime Factorization of 31 is 31

Prime Factorization of 422 is 2 x 211

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(938, 889) = 119126

GCD(938, 889) = ( 938 x 889 ) / 119126

GCD(938, 889) = 833882 / 119126

GCD(938, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 938, 889, 31, 422 is 1

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1. What is the GCD of 938, 889, 31, 422?

GCD of 938, 889, 31, 422 is 1

2. Where do I get the detailed procedure to find GCD of 938, 889, 31, 422?

You can find a detailed procedure to find GCD of 938, 889, 31, 422 on our page.

3. How to find GCD of 938, 889, 31, 422 on a calculator?

You can find the GCD of 938, 889, 31, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.