GCD of 135, 596, 527, 428 Calculator

Given Input numbers are 135, 596, 527, 428

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 428

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

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 135, 596, 527, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 596, 527, 428 is 1.

Therefore, GCD of numbers 135, 596, 527, 428 is 1

Given Input Data is 135, 596, 527, 428

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 527 is 17 x 31

Prime Factorization of 428 is 2 x 2 x 107

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(135, 596) = 80460

GCD(135, 596) = ( 135 x 596 ) / 80460

GCD(135, 596) = 80460 / 80460

GCD(135, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 135, 596, 527, 428 is 1

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1. What is the GCD of 135, 596, 527, 428?

GCD of 135, 596, 527, 428 is 1

2. Where do I get the detailed procedure to find GCD of 135, 596, 527, 428?

You can find a detailed procedure to find GCD of 135, 596, 527, 428 on our page.

3. How to find GCD of 135, 596, 527, 428 on a calculator?

You can find the GCD of 135, 596, 527, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.