GCD of 260, 602, 364, 709 Calculator

Given Input numbers are 260, 602, 364, 709

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 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 260, 602, 364, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 602, 364, 709 is 1.

Therefore, GCD of numbers 260, 602, 364, 709 is 1

Given Input Data is 260, 602, 364, 709

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 602 is 2 x 7 x 43

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 709 is 709

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, 602) = 78260

GCD(260, 602) = ( 260 x 602 ) / 78260

GCD(260, 602) = 156520 / 78260

GCD(260, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

GCD of 260, 602, 364, 709 is 1

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1. What is the GCD of 260, 602, 364, 709?

GCD of 260, 602, 364, 709 is 1

2. Where do I get the detailed procedure to find GCD of 260, 602, 364, 709?

You can find a detailed procedure to find GCD of 260, 602, 364, 709 on our page.

3. How to find GCD of 260, 602, 364, 709 on a calculator?

You can find the GCD of 260, 602, 364, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.