GCD of 238, 268, 520 Calculator

Given Input numbers are 238, 268, 520

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 238, 268, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 268, 520 is 2.

Therefore, GCD of numbers 238, 268, 520 is 2

Given Input Data is 238, 268, 520

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(238, 268) = 31892

GCD(238, 268) = ( 238 x 268 ) / 31892

GCD(238, 268) = 63784 / 31892

GCD(238, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

GCD of 238, 268, 520 is 2

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1. What is the GCD of 238, 268, 520?

GCD of 238, 268, 520 is 2

2. Where do I get the detailed procedure to find GCD of 238, 268, 520?

You can find a detailed procedure to find GCD of 238, 268, 520 on our page.

3. How to find GCD of 238, 268, 520 on a calculator?

You can find the GCD of 238, 268, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.