GCD of 108, 592, 97, 628 Calculator

Given Input numbers are 108, 592, 97, 628

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 108, 592, 97, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 592, 97, 628 is 1.

Therefore, GCD of numbers 108, 592, 97, 628 is 1

Given Input Data is 108, 592, 97, 628

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 97 is 97

Prime Factorization of 628 is 2 x 2 x 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, 592) = 15984

GCD(108, 592) = ( 108 x 592 ) / 15984

GCD(108, 592) = 63936 / 15984

GCD(108, 592) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 97

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

LCM(4, 97) = 388

GCD(4, 97) = ( 4 x 97 ) / 388

GCD(4, 97) = 388 / 388

GCD(4, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 108, 592, 97, 628 is 1

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• GCD of 175, 494, 11, 741
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1. What is the GCD of 108, 592, 97, 628?

GCD of 108, 592, 97, 628 is 1

2. Where do I get the detailed procedure to find GCD of 108, 592, 97, 628?

You can find a detailed procedure to find GCD of 108, 592, 97, 628 on our page.

3. How to find GCD of 108, 592, 97, 628 on a calculator?

You can find the GCD of 108, 592, 97, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.