GCD of 772, 538, 568 Calculator

Given Input numbers are 772, 538, 568

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 772, 538, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 538, 568 is 2.

Therefore, GCD of numbers 772, 538, 568 is 2

Given Input Data is 772, 538, 568

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 538 is 2 x 269

Prime Factorization of 568 is 2 x 2 x 2 x 71

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(772, 538) = 207668

GCD(772, 538) = ( 772 x 538 ) / 207668

GCD(772, 538) = 415336 / 207668

GCD(772, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 568

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

LCM(2, 568) = 568

GCD(2, 568) = ( 2 x 568 ) / 568

GCD(2, 568) = 1136 / 568

GCD(2, 568) = 2

GCD of 772, 538, 568 is 2

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1. What is the GCD of 772, 538, 568?

GCD of 772, 538, 568 is 2

2. Where do I get the detailed procedure to find GCD of 772, 538, 568?

You can find a detailed procedure to find GCD of 772, 538, 568 on our page.

3. How to find GCD of 772, 538, 568 on a calculator?

You can find the GCD of 772, 538, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.