GCD of 500, 761, 268 Calculator

Given Input numbers are 500, 761, 268

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 268

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

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 500, 761, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 761, 268 is 1.

Therefore, GCD of numbers 500, 761, 268 is 1

Given Input Data is 500, 761, 268

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 761 is 761

Prime Factorization of 268 is 2 x 2 x 67

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(500, 761) = 380500

GCD(500, 761) = ( 500 x 761 ) / 380500

GCD(500, 761) = 380500 / 380500

GCD(500, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 500, 761, 268 is 1

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1. What is the GCD of 500, 761, 268?

GCD of 500, 761, 268 is 1

2. Where do I get the detailed procedure to find GCD of 500, 761, 268?

You can find a detailed procedure to find GCD of 500, 761, 268 on our page.

3. How to find GCD of 500, 761, 268 on a calculator?

You can find the GCD of 500, 761, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.