GCD of 344, 516, 739 Calculator

Given Input numbers are 344, 516, 739

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

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 344, 516, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 516, 739 is 1.

Therefore, GCD of numbers 344, 516, 739 is 1

Given Input Data is 344, 516, 739

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

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 739 is 739

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(344, 516) = 1032

GCD(344, 516) = ( 344 x 516 ) / 1032

GCD(344, 516) = 177504 / 1032

GCD(344, 516) = 172

Step2:

Here we consider the GCD from the above i.e. 172 as first number and the next as 739

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

LCM(172, 739) = 127108

GCD(172, 739) = ( 172 x 739 ) / 127108

GCD(172, 739) = 127108 / 127108

GCD(172, 739) = 1

GCD of 344, 516, 739 is 1

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1. What is the GCD of 344, 516, 739?

GCD of 344, 516, 739 is 1

2. Where do I get the detailed procedure to find GCD of 344, 516, 739?

You can find a detailed procedure to find GCD of 344, 516, 739 on our page.

3. How to find GCD of 344, 516, 739 on a calculator?

You can find the GCD of 344, 516, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.