GCD of 508, 138, 242 Calculator

Given Input numbers are 508, 138, 242

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

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 242

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

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 508, 138, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 138, 242 is 2.

Therefore, GCD of numbers 508, 138, 242 is 2

Given Input Data is 508, 138, 242

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 242 is 2 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(508, 138) = 35052

GCD(508, 138) = ( 508 x 138 ) / 35052

GCD(508, 138) = 70104 / 35052

GCD(508, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 242

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

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

GCD(2, 242) = 484 / 242

GCD(2, 242) = 2

GCD of 508, 138, 242 is 2

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1. What is the GCD of 508, 138, 242?

GCD of 508, 138, 242 is 2

2. Where do I get the detailed procedure to find GCD of 508, 138, 242?

You can find a detailed procedure to find GCD of 508, 138, 242 on our page.

3. How to find GCD of 508, 138, 242 on a calculator?

You can find the GCD of 508, 138, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.