GCD of 260, 721, 374, 979 Calculator

Given Input numbers are 260, 721, 374, 979

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 260, 721, 374, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 721, 374, 979 is 1.

Therefore, GCD of numbers 260, 721, 374, 979 is 1

Given Input Data is 260, 721, 374, 979

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 721 is 7 x 103

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 979 is 11 x 89

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, 721) = 187460

GCD(260, 721) = ( 260 x 721 ) / 187460

GCD(260, 721) = 187460 / 187460

GCD(260, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 260, 721, 374, 979 is 1

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1. What is the GCD of 260, 721, 374, 979?

GCD of 260, 721, 374, 979 is 1

2. Where do I get the detailed procedure to find GCD of 260, 721, 374, 979?

You can find a detailed procedure to find GCD of 260, 721, 374, 979 on our page.

3. How to find GCD of 260, 721, 374, 979 on a calculator?

You can find the GCD of 260, 721, 374, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.