GCD of 259, 969, 813, 761 Calculator

Given Input numbers are 259, 969, 813, 761

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 761

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

1, 761

Greatest Common Divisior

We found the divisors of 259, 969, 813, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 969, 813, 761 is 1.

Therefore, GCD of numbers 259, 969, 813, 761 is 1

Given Input Data is 259, 969, 813, 761

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 813 is 3 x 271

Prime Factorization of 761 is 761

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(259, 969) = 250971

GCD(259, 969) = ( 259 x 969 ) / 250971

GCD(259, 969) = 250971 / 250971

GCD(259, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 259, 969, 813, 761 is 1

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1. What is the GCD of 259, 969, 813, 761?

GCD of 259, 969, 813, 761 is 1

2. Where do I get the detailed procedure to find GCD of 259, 969, 813, 761?

You can find a detailed procedure to find GCD of 259, 969, 813, 761 on our page.

3. How to find GCD of 259, 969, 813, 761 on a calculator?

You can find the GCD of 259, 969, 813, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.