GCD of 242, 915, 508 Calculator

Given Input numbers are 242, 915, 508

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

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 242, 915, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 915, 508 is 1.

Therefore, GCD of numbers 242, 915, 508 is 1

Given Input Data is 242, 915, 508

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 508 is 2 x 2 x 127

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(242, 915) = 221430

GCD(242, 915) = ( 242 x 915 ) / 221430

GCD(242, 915) = 221430 / 221430

GCD(242, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 242, 915, 508 is 1

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1. What is the GCD of 242, 915, 508?

GCD of 242, 915, 508 is 1

2. Where do I get the detailed procedure to find GCD of 242, 915, 508?

You can find a detailed procedure to find GCD of 242, 915, 508 on our page.

3. How to find GCD of 242, 915, 508 on a calculator?

You can find the GCD of 242, 915, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.