GCD of 422, 164, 96, 957 Calculator

Given Input numbers are 422, 164, 96, 957

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 422, 164, 96, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 164, 96, 957 is 1.

Therefore, GCD of numbers 422, 164, 96, 957 is 1

Given Input Data is 422, 164, 96, 957

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 957 is 3 x 11 x 29

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(422, 164) = 34604

GCD(422, 164) = ( 422 x 164 ) / 34604

GCD(422, 164) = 69208 / 34604

GCD(422, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

GCD of 422, 164, 96, 957 is 1

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1. What is the GCD of 422, 164, 96, 957?

GCD of 422, 164, 96, 957 is 1

2. Where do I get the detailed procedure to find GCD of 422, 164, 96, 957?

You can find a detailed procedure to find GCD of 422, 164, 96, 957 on our page.

3. How to find GCD of 422, 164, 96, 957 on a calculator?

You can find the GCD of 422, 164, 96, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.