GCD of 956, 554, 559, 908 Calculator

Given Input numbers are 956, 554, 559, 908

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 956, 554, 559, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 554, 559, 908 is 1.

Therefore, GCD of numbers 956, 554, 559, 908 is 1

Given Input Data is 956, 554, 559, 908

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 554 is 2 x 277

Prime Factorization of 559 is 13 x 43

Prime Factorization of 908 is 2 x 2 x 227

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, 554) = 264812

GCD(956, 554) = ( 956 x 554 ) / 264812

GCD(956, 554) = 529624 / 264812

GCD(956, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 956, 554, 559, 908 is 1

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1. What is the GCD of 956, 554, 559, 908?

GCD of 956, 554, 559, 908 is 1

2. Where do I get the detailed procedure to find GCD of 956, 554, 559, 908?

You can find a detailed procedure to find GCD of 956, 554, 559, 908 on our page.

3. How to find GCD of 956, 554, 559, 908 on a calculator?

You can find the GCD of 956, 554, 559, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.