GCD of 108, 594, 292, 157 Calculator

Given Input numbers are 108, 594, 292, 157

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 108, 594, 292, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 594, 292, 157 is 1.

Therefore, GCD of numbers 108, 594, 292, 157 is 1

Given Input Data is 108, 594, 292, 157

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 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 157 is 157

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, 594) = 1188

GCD(108, 594) = ( 108 x 594 ) / 1188

GCD(108, 594) = 64152 / 1188

GCD(108, 594) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 292

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

LCM(54, 292) = 7884

GCD(54, 292) = ( 54 x 292 ) / 7884

GCD(54, 292) = 15768 / 7884

GCD(54, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 157

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

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

GCD(2, 157) = 314 / 314

GCD(2, 157) = 1

GCD of 108, 594, 292, 157 is 1

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1. What is the GCD of 108, 594, 292, 157?

GCD of 108, 594, 292, 157 is 1

2. Where do I get the detailed procedure to find GCD of 108, 594, 292, 157?

You can find a detailed procedure to find GCD of 108, 594, 292, 157 on our page.

3. How to find GCD of 108, 594, 292, 157 on a calculator?

You can find the GCD of 108, 594, 292, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.