GCD of 428, 187, 64, 596 Calculator

Given Input numbers are 428, 187, 64, 596

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 428, 187, 64, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 187, 64, 596 is 1.

Therefore, GCD of numbers 428, 187, 64, 596 is 1

Given Input Data is 428, 187, 64, 596

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 187 is 11 x 17

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 596 is 2 x 2 x 149

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(428, 187) = 80036

GCD(428, 187) = ( 428 x 187 ) / 80036

GCD(428, 187) = 80036 / 80036

GCD(428, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 428, 187, 64, 596 is 1

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1. What is the GCD of 428, 187, 64, 596?

GCD of 428, 187, 64, 596 is 1

2. Where do I get the detailed procedure to find GCD of 428, 187, 64, 596?

You can find a detailed procedure to find GCD of 428, 187, 64, 596 on our page.

3. How to find GCD of 428, 187, 64, 596 on a calculator?

You can find the GCD of 428, 187, 64, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.