GCD of 356, 979, 938, 809 Calculator

Given Input numbers are 356, 979, 938, 809

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 356, 979, 938, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 979, 938, 809 is 1.

Therefore, GCD of numbers 356, 979, 938, 809 is 1

Given Input Data is 356, 979, 938, 809

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 979 is 11 x 89

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 809 is 809

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(356, 979) = 3916

GCD(356, 979) = ( 356 x 979 ) / 3916

GCD(356, 979) = 348524 / 3916

GCD(356, 979) = 89

Step2:

Here we consider the GCD from the above i.e. 89 as first number and the next as 938

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

LCM(89, 938) = 83482

GCD(89, 938) = ( 89 x 938 ) / 83482

GCD(89, 938) = 83482 / 83482

GCD(89, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 356, 979, 938, 809 is 1

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1. What is the GCD of 356, 979, 938, 809?

GCD of 356, 979, 938, 809 is 1

2. Where do I get the detailed procedure to find GCD of 356, 979, 938, 809?

You can find a detailed procedure to find GCD of 356, 979, 938, 809 on our page.

3. How to find GCD of 356, 979, 938, 809 on a calculator?

You can find the GCD of 356, 979, 938, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.