GCD of 709, 800, 260 Calculator

Given Input numbers are 709, 800, 260

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

Divisors of 709

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

1, 709

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

Greatest Common Divisior

We found the divisors of 709, 800, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 800, 260 is 1.

Therefore, GCD of numbers 709, 800, 260 is 1

Given Input Data is 709, 800, 260

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

Prime Factorization of 709 is 709

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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(709, 800) = 567200

GCD(709, 800) = ( 709 x 800 ) / 567200

GCD(709, 800) = 567200 / 567200

GCD(709, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 709, 800, 260 is 1

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1. What is the GCD of 709, 800, 260?

GCD of 709, 800, 260 is 1

2. Where do I get the detailed procedure to find GCD of 709, 800, 260?

You can find a detailed procedure to find GCD of 709, 800, 260 on our page.

3. How to find GCD of 709, 800, 260 on a calculator?

You can find the GCD of 709, 800, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.