GCD of 531, 868, 138, 742 Calculator

Given Input numbers are 531, 868, 138, 742

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

Divisors of 531

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

1, 3, 9, 59, 177, 531

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 531, 868, 138, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 868, 138, 742 is 1.

Therefore, GCD of numbers 531, 868, 138, 742 is 1

Given Input Data is 531, 868, 138, 742

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 742 is 2 x 7 x 53

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(531, 868) = 460908

GCD(531, 868) = ( 531 x 868 ) / 460908

GCD(531, 868) = 460908 / 460908

GCD(531, 868) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

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

GCD of 531, 868, 138, 742 is 1

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1. What is the GCD of 531, 868, 138, 742?

GCD of 531, 868, 138, 742 is 1

2. Where do I get the detailed procedure to find GCD of 531, 868, 138, 742?

You can find a detailed procedure to find GCD of 531, 868, 138, 742 on our page.

3. How to find GCD of 531, 868, 138, 742 on a calculator?

You can find the GCD of 531, 868, 138, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.