GCD of 767, 508, 522, 613 Calculator

Given Input numbers are 767, 508, 522, 613

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 767, 508, 522, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 508, 522, 613 is 1.

Therefore, GCD of numbers 767, 508, 522, 613 is 1

Given Input Data is 767, 508, 522, 613

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 613 is 613

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(767, 508) = 389636

GCD(767, 508) = ( 767 x 508 ) / 389636

GCD(767, 508) = 389636 / 389636

GCD(767, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 767, 508, 522, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 306, 691, 520
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• GCD of 253, 147, 505, 978
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• GCD of 963, 398, 748, 408

1. What is the GCD of 767, 508, 522, 613?

GCD of 767, 508, 522, 613 is 1

2. Where do I get the detailed procedure to find GCD of 767, 508, 522, 613?

You can find a detailed procedure to find GCD of 767, 508, 522, 613 on our page.

3. How to find GCD of 767, 508, 522, 613 on a calculator?

You can find the GCD of 767, 508, 522, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.