GCD of 979, 897, 36, 314 Calculator

Given Input numbers are 979, 897, 36, 314

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

Divisors of 979

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

1, 11, 89, 979

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 979, 897, 36, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 897, 36, 314 is 1.

Therefore, GCD of numbers 979, 897, 36, 314 is 1

Given Input Data is 979, 897, 36, 314

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 314 is 2 x 157

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(979, 897) = 878163

GCD(979, 897) = ( 979 x 897 ) / 878163

GCD(979, 897) = 878163 / 878163

GCD(979, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 979, 897, 36, 314 is 1

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• GCD of 262, 644, 81, 693
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1. What is the GCD of 979, 897, 36, 314?

GCD of 979, 897, 36, 314 is 1

2. Where do I get the detailed procedure to find GCD of 979, 897, 36, 314?

You can find a detailed procedure to find GCD of 979, 897, 36, 314 on our page.

3. How to find GCD of 979, 897, 36, 314 on a calculator?

You can find the GCD of 979, 897, 36, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.