GCD of 221, 368, 979, 507 Calculator

Given Input numbers are 221, 368, 979, 507

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 979

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

1, 11, 89, 979

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 221, 368, 979, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 368, 979, 507 is 1.

Therefore, GCD of numbers 221, 368, 979, 507 is 1

Given Input Data is 221, 368, 979, 507

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 979 is 11 x 89

Prime Factorization of 507 is 3 x 13 x 13

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(221, 368) = 81328

GCD(221, 368) = ( 221 x 368 ) / 81328

GCD(221, 368) = 81328 / 81328

GCD(221, 368) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 221, 368, 979, 507 is 1

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1. What is the GCD of 221, 368, 979, 507?

GCD of 221, 368, 979, 507 is 1

2. Where do I get the detailed procedure to find GCD of 221, 368, 979, 507?

You can find a detailed procedure to find GCD of 221, 368, 979, 507 on our page.

3. How to find GCD of 221, 368, 979, 507 on a calculator?

You can find the GCD of 221, 368, 979, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.