GCD of 679, 324, 259, 138 Calculator

Given Input numbers are 679, 324, 259, 138

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

Divisors of 679

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

1, 7, 97, 679

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 138

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

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

Greatest Common Divisior

We found the divisors of 679, 324, 259, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 324, 259, 138 is 1.

Therefore, GCD of numbers 679, 324, 259, 138 is 1

Given Input Data is 679, 324, 259, 138

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 259 is 7 x 37

Prime Factorization of 138 is 2 x 3 x 23

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(679, 324) = 219996

GCD(679, 324) = ( 679 x 324 ) / 219996

GCD(679, 324) = 219996 / 219996

GCD(679, 324) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

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

GCD of 679, 324, 259, 138 is 1

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1. What is the GCD of 679, 324, 259, 138?

GCD of 679, 324, 259, 138 is 1

2. Where do I get the detailed procedure to find GCD of 679, 324, 259, 138?

You can find a detailed procedure to find GCD of 679, 324, 259, 138 on our page.

3. How to find GCD of 679, 324, 259, 138 on a calculator?

You can find the GCD of 679, 324, 259, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.