GCD of 956, 791, 658, 428 Calculator

Given Input numbers are 956, 791, 658, 428

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 956, 791, 658, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 791, 658, 428 is 1.

Therefore, GCD of numbers 956, 791, 658, 428 is 1

Given Input Data is 956, 791, 658, 428

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 791 is 7 x 113

Prime Factorization of 658 is 2 x 7 x 47

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(956, 791) = 756196

GCD(956, 791) = ( 956 x 791 ) / 756196

GCD(956, 791) = 756196 / 756196

GCD(956, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 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 956, 791, 658, 428 is 1

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1. What is the GCD of 956, 791, 658, 428?

GCD of 956, 791, 658, 428 is 1

2. Where do I get the detailed procedure to find GCD of 956, 791, 658, 428?

You can find a detailed procedure to find GCD of 956, 791, 658, 428 on our page.

3. How to find GCD of 956, 791, 658, 428 on a calculator?

You can find the GCD of 956, 791, 658, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.