GCD of 654, 975, 679, 604 Calculator

Given Input numbers are 654, 975, 679, 604

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 679

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

1, 7, 97, 679

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 654, 975, 679, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 975, 679, 604 is 1.

Therefore, GCD of numbers 654, 975, 679, 604 is 1

Given Input Data is 654, 975, 679, 604

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 679 is 7 x 97

Prime Factorization of 604 is 2 x 2 x 151

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(654, 975) = 212550

GCD(654, 975) = ( 654 x 975 ) / 212550

GCD(654, 975) = 637650 / 212550

GCD(654, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 679

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

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

GCD(3, 679) = 2037 / 2037

GCD(3, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 654, 975, 679, 604 is 1

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1. What is the GCD of 654, 975, 679, 604?

GCD of 654, 975, 679, 604 is 1

2. Where do I get the detailed procedure to find GCD of 654, 975, 679, 604?

You can find a detailed procedure to find GCD of 654, 975, 679, 604 on our page.

3. How to find GCD of 654, 975, 679, 604 on a calculator?

You can find the GCD of 654, 975, 679, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.