GCD of 674, 369, 39, 872 Calculator

Given Input numbers are 674, 369, 39, 872

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 674, 369, 39, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 369, 39, 872 is 1.

Therefore, GCD of numbers 674, 369, 39, 872 is 1

Given Input Data is 674, 369, 39, 872

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 39 is 3 x 13

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(674, 369) = 248706

GCD(674, 369) = ( 674 x 369 ) / 248706

GCD(674, 369) = 248706 / 248706

GCD(674, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 674, 369, 39, 872 is 1

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1. What is the GCD of 674, 369, 39, 872?

GCD of 674, 369, 39, 872 is 1

2. Where do I get the detailed procedure to find GCD of 674, 369, 39, 872?

You can find a detailed procedure to find GCD of 674, 369, 39, 872 on our page.

3. How to find GCD of 674, 369, 39, 872 on a calculator?

You can find the GCD of 674, 369, 39, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.