GCD of 508, 334, 652 Calculator

Given Input numbers are 508, 334, 652

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 508, 334, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 334, 652 is 2.

Therefore, GCD of numbers 508, 334, 652 is 2

Given Input Data is 508, 334, 652

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 334 is 2 x 167

Prime Factorization of 652 is 2 x 2 x 163

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, 334) = 84836

GCD(508, 334) = ( 508 x 334 ) / 84836

GCD(508, 334) = 169672 / 84836

GCD(508, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 508, 334, 652 is 2

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1. What is the GCD of 508, 334, 652?

GCD of 508, 334, 652 is 2

2. Where do I get the detailed procedure to find GCD of 508, 334, 652?

You can find a detailed procedure to find GCD of 508, 334, 652 on our page.

3. How to find GCD of 508, 334, 652 on a calculator?

You can find the GCD of 508, 334, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.