GCD of 108, 387, 197, 679 Calculator

Given Input numbers are 108, 387, 197, 679

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 108, 387, 197, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 387, 197, 679 is 1.

Therefore, GCD of numbers 108, 387, 197, 679 is 1

Given Input Data is 108, 387, 197, 679

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 387 is 3 x 3 x 43

Prime Factorization of 197 is 197

Prime Factorization of 679 is 7 x 97

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, 387) = 4644

GCD(108, 387) = ( 108 x 387 ) / 4644

GCD(108, 387) = 41796 / 4644

GCD(108, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 197

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

LCM(9, 197) = 1773

GCD(9, 197) = ( 9 x 197 ) / 1773

GCD(9, 197) = 1773 / 1773

GCD(9, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 108, 387, 197, 679 is 1

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1. What is the GCD of 108, 387, 197, 679?

GCD of 108, 387, 197, 679 is 1

2. Where do I get the detailed procedure to find GCD of 108, 387, 197, 679?

You can find a detailed procedure to find GCD of 108, 387, 197, 679 on our page.

3. How to find GCD of 108, 387, 197, 679 on a calculator?

You can find the GCD of 108, 387, 197, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.