GCD of 261, 764, 78, 826 Calculator

Given Input numbers are 261, 764, 78, 826

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 261, 764, 78, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 764, 78, 826 is 1.

Therefore, GCD of numbers 261, 764, 78, 826 is 1

Given Input Data is 261, 764, 78, 826

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 826 is 2 x 7 x 59

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(261, 764) = 199404

GCD(261, 764) = ( 261 x 764 ) / 199404

GCD(261, 764) = 199404 / 199404

GCD(261, 764) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 261, 764, 78, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 384, 25, 813
• GCD of 208, 222, 39, 743
• GCD of 174, 240, 29, 111
• GCD of 451, 459, 65, 466
• GCD of 451, 639, 77, 283

1. What is the GCD of 261, 764, 78, 826?

GCD of 261, 764, 78, 826 is 1

2. Where do I get the detailed procedure to find GCD of 261, 764, 78, 826?

You can find a detailed procedure to find GCD of 261, 764, 78, 826 on our page.

3. How to find GCD of 261, 764, 78, 826 on a calculator?

You can find the GCD of 261, 764, 78, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.