GCD of 431, 419, 316, 956 Calculator

Given Input numbers are 431, 419, 316, 956

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

Divisors of 431

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

1, 431

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

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 431, 419, 316, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 419, 316, 956 is 1.

Therefore, GCD of numbers 431, 419, 316, 956 is 1

Given Input Data is 431, 419, 316, 956

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

Prime Factorization of 431 is 431

Prime Factorization of 419 is 419

Prime Factorization of 316 is 2 x 2 x 79

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(431, 419) = 180589

GCD(431, 419) = ( 431 x 419 ) / 180589

GCD(431, 419) = 180589 / 180589

GCD(431, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 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 431, 419, 316, 956 is 1

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• GCD of 110, 405, 453, 502
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• GCD of 783, 790, 651, 364

1. What is the GCD of 431, 419, 316, 956?

GCD of 431, 419, 316, 956 is 1

2. Where do I get the detailed procedure to find GCD of 431, 419, 316, 956?

You can find a detailed procedure to find GCD of 431, 419, 316, 956 on our page.

3. How to find GCD of 431, 419, 316, 956 on a calculator?

You can find the GCD of 431, 419, 316, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.