GCD of 108, 531, 742, 431 Calculator

Given Input numbers are 108, 531, 742, 431

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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 431

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

1, 431

Greatest Common Divisior

We found the divisors of 108, 531, 742, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 531, 742, 431 is 1.

Therefore, GCD of numbers 108, 531, 742, 431 is 1

Given Input Data is 108, 531, 742, 431

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 431 is 431

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(108, 531) = 6372

GCD(108, 531) = ( 108 x 531 ) / 6372

GCD(108, 531) = 57348 / 6372

GCD(108, 531) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 742

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

LCM(9, 742) = 6678

GCD(9, 742) = ( 9 x 742 ) / 6678

GCD(9, 742) = 6678 / 6678

GCD(9, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 108, 531, 742, 431 is 1

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1. What is the GCD of 108, 531, 742, 431?

GCD of 108, 531, 742, 431 is 1

2. Where do I get the detailed procedure to find GCD of 108, 531, 742, 431?

You can find a detailed procedure to find GCD of 108, 531, 742, 431 on our page.

3. How to find GCD of 108, 531, 742, 431 on a calculator?

You can find the GCD of 108, 531, 742, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.