GCD of 431, 956, 742, 109 Calculator

Given Input numbers are 431, 956, 742, 109

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 956

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

1, 2, 4, 239, 478, 956

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 431, 956, 742, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 956, 742, 109 is 1.

Therefore, GCD of numbers 431, 956, 742, 109 is 1

Given Input Data is 431, 956, 742, 109

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

Prime Factorization of 431 is 431

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 109 is 109

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, 956) = 412036

GCD(431, 956) = ( 431 x 956 ) / 412036

GCD(431, 956) = 412036 / 412036

GCD(431, 956) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 431, 956, 742, 109 is 1

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1. What is the GCD of 431, 956, 742, 109?

GCD of 431, 956, 742, 109 is 1

2. Where do I get the detailed procedure to find GCD of 431, 956, 742, 109?

You can find a detailed procedure to find GCD of 431, 956, 742, 109 on our page.

3. How to find GCD of 431, 956, 742, 109 on a calculator?

You can find the GCD of 431, 956, 742, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.