GCD of 527, 242, 321 Calculator

Given Input numbers are 527, 242, 321

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 527, 242, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 242, 321 is 1.

Therefore, GCD of numbers 527, 242, 321 is 1

Given Input Data is 527, 242, 321

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 321 is 3 x 107

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(527, 242) = 127534

GCD(527, 242) = ( 527 x 242 ) / 127534

GCD(527, 242) = 127534 / 127534

GCD(527, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 527, 242, 321 is 1

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1. What is the GCD of 527, 242, 321?

GCD of 527, 242, 321 is 1

2. Where do I get the detailed procedure to find GCD of 527, 242, 321?

You can find a detailed procedure to find GCD of 527, 242, 321 on our page.

3. How to find GCD of 527, 242, 321 on a calculator?

You can find the GCD of 527, 242, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.