GCD of 710, 344, 580 Calculator

Given Input numbers are 710, 344, 580

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 710, 344, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 344, 580 is 2.

Therefore, GCD of numbers 710, 344, 580 is 2

Given Input Data is 710, 344, 580

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 580 is 2 x 2 x 5 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(710, 344) = 122120

GCD(710, 344) = ( 710 x 344 ) / 122120

GCD(710, 344) = 244240 / 122120

GCD(710, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 710, 344, 580 is 2

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1. What is the GCD of 710, 344, 580?

GCD of 710, 344, 580 is 2

2. Where do I get the detailed procedure to find GCD of 710, 344, 580?

You can find a detailed procedure to find GCD of 710, 344, 580 on our page.

3. How to find GCD of 710, 344, 580 on a calculator?

You can find the GCD of 710, 344, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.