GCD of 364, 942, 431, 956 Calculator

Given Input numbers are 364, 942, 431, 956

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

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 956

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

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 364, 942, 431, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 942, 431, 956 is 1.

Therefore, GCD of numbers 364, 942, 431, 956 is 1

Given Input Data is 364, 942, 431, 956

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 431 is 431

Prime Factorization of 956 is 2 x 2 x 239

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(364, 942) = 171444

GCD(364, 942) = ( 364 x 942 ) / 171444

GCD(364, 942) = 342888 / 171444

GCD(364, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 364, 942, 431, 956 is 1

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1. What is the GCD of 364, 942, 431, 956?

GCD of 364, 942, 431, 956 is 1

2. Where do I get the detailed procedure to find GCD of 364, 942, 431, 956?

You can find a detailed procedure to find GCD of 364, 942, 431, 956 on our page.

3. How to find GCD of 364, 942, 431, 956 on a calculator?

You can find the GCD of 364, 942, 431, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.