GCD of 956, 364, 90, 456 Calculator

Given Input numbers are 956, 364, 90, 456

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 956, 364, 90, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 364, 90, 456 is 2.

Therefore, GCD of numbers 956, 364, 90, 456 is 2

Given Input Data is 956, 364, 90, 456

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 364) = 86996

GCD(956, 364) = ( 956 x 364 ) / 86996

GCD(956, 364) = 347984 / 86996

GCD(956, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 956, 364, 90, 456 is 2

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1. What is the GCD of 956, 364, 90, 456?

GCD of 956, 364, 90, 456 is 2

2. Where do I get the detailed procedure to find GCD of 956, 364, 90, 456?

You can find a detailed procedure to find GCD of 956, 364, 90, 456 on our page.

3. How to find GCD of 956, 364, 90, 456 on a calculator?

You can find the GCD of 956, 364, 90, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.