GCD of 260, 369, 401, 713 Calculator

Given Input numbers are 260, 369, 401, 713

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 260, 369, 401, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 369, 401, 713 is 1.

Therefore, GCD of numbers 260, 369, 401, 713 is 1

Given Input Data is 260, 369, 401, 713

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 401 is 401

Prime Factorization of 713 is 23 x 31

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(260, 369) = 95940

GCD(260, 369) = ( 260 x 369 ) / 95940

GCD(260, 369) = 95940 / 95940

GCD(260, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 260, 369, 401, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 237, 279, 982
• GCD of 881, 230, 759, 188
• GCD of 670, 999, 440, 199
• GCD of 948, 866, 746, 138
• GCD of 313, 669, 597, 782

1. What is the GCD of 260, 369, 401, 713?

GCD of 260, 369, 401, 713 is 1

2. Where do I get the detailed procedure to find GCD of 260, 369, 401, 713?

You can find a detailed procedure to find GCD of 260, 369, 401, 713 on our page.

3. How to find GCD of 260, 369, 401, 713 on a calculator?

You can find the GCD of 260, 369, 401, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.