GCD of 369, 897, 355, 979 Calculator

Given Input numbers are 369, 897, 355, 979

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

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 369, 897, 355, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 897, 355, 979 is 1.

Therefore, GCD of numbers 369, 897, 355, 979 is 1

Given Input Data is 369, 897, 355, 979

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 355 is 5 x 71

Prime Factorization of 979 is 11 x 89

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(369, 897) = 110331

GCD(369, 897) = ( 369 x 897 ) / 110331

GCD(369, 897) = 330993 / 110331

GCD(369, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 355

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

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

GCD(3, 355) = 1065 / 1065

GCD(3, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 369, 897, 355, 979 is 1

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1. What is the GCD of 369, 897, 355, 979?

GCD of 369, 897, 355, 979 is 1

2. Where do I get the detailed procedure to find GCD of 369, 897, 355, 979?

You can find a detailed procedure to find GCD of 369, 897, 355, 979 on our page.

3. How to find GCD of 369, 897, 355, 979 on a calculator?

You can find the GCD of 369, 897, 355, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.