GCD of 268, 772, 513 Calculator

Given Input numbers are 268, 772, 513

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

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 268, 772, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 772, 513 is 1.

Therefore, GCD of numbers 268, 772, 513 is 1

Given Input Data is 268, 772, 513

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(268, 772) = 51724

GCD(268, 772) = ( 268 x 772 ) / 51724

GCD(268, 772) = 206896 / 51724

GCD(268, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 513

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

LCM(4, 513) = 2052

GCD(4, 513) = ( 4 x 513 ) / 2052

GCD(4, 513) = 2052 / 2052

GCD(4, 513) = 1

GCD of 268, 772, 513 is 1

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1. What is the GCD of 268, 772, 513?

GCD of 268, 772, 513 is 1

2. Where do I get the detailed procedure to find GCD of 268, 772, 513?

You can find a detailed procedure to find GCD of 268, 772, 513 on our page.

3. How to find GCD of 268, 772, 513 on a calculator?

You can find the GCD of 268, 772, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.