GCD of 931, 138, 84, 364 Calculator

Given Input numbers are 931, 138, 84, 364

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

Greatest Common Divisior

We found the divisors of 931, 138, 84, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 138, 84, 364 is 1.

Therefore, GCD of numbers 931, 138, 84, 364 is 1

Given Input Data is 931, 138, 84, 364

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

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(931, 138) = 128478

GCD(931, 138) = ( 931 x 138 ) / 128478

GCD(931, 138) = 128478 / 128478

GCD(931, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 931, 138, 84, 364 is 1

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1. What is the GCD of 931, 138, 84, 364?

GCD of 931, 138, 84, 364 is 1

2. Where do I get the detailed procedure to find GCD of 931, 138, 84, 364?

You can find a detailed procedure to find GCD of 931, 138, 84, 364 on our page.

3. How to find GCD of 931, 138, 84, 364 on a calculator?

You can find the GCD of 931, 138, 84, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.