GCD of 595, 938, 421, 504 Calculator

Given Input numbers are 595, 938, 421, 504

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 595, 938, 421, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 938, 421, 504 is 1.

Therefore, GCD of numbers 595, 938, 421, 504 is 1

Given Input Data is 595, 938, 421, 504

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 421 is 421

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(595, 938) = 79730

GCD(595, 938) = ( 595 x 938 ) / 79730

GCD(595, 938) = 558110 / 79730

GCD(595, 938) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 421

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

LCM(7, 421) = 2947

GCD(7, 421) = ( 7 x 421 ) / 2947

GCD(7, 421) = 2947 / 2947

GCD(7, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 595, 938, 421, 504 is 1

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1. What is the GCD of 595, 938, 421, 504?

GCD of 595, 938, 421, 504 is 1

2. Where do I get the detailed procedure to find GCD of 595, 938, 421, 504?

You can find a detailed procedure to find GCD of 595, 938, 421, 504 on our page.

3. How to find GCD of 595, 938, 421, 504 on a calculator?

You can find the GCD of 595, 938, 421, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.