GCD of 879, 513, 344, 516 Calculator

Given Input numbers are 879, 513, 344, 516

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

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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

Greatest Common Divisior

We found the divisors of 879, 513, 344, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 513, 344, 516 is 1.

Therefore, GCD of numbers 879, 513, 344, 516 is 1

Given Input Data is 879, 513, 344, 516

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 513 is 3 x 3 x 3 x 19

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

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

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(879, 513) = 150309

GCD(879, 513) = ( 879 x 513 ) / 150309

GCD(879, 513) = 450927 / 150309

GCD(879, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 344

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

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

GCD(3, 344) = 1032 / 1032

GCD(3, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 879, 513, 344, 516 is 1

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1. What is the GCD of 879, 513, 344, 516?

GCD of 879, 513, 344, 516 is 1

2. Where do I get the detailed procedure to find GCD of 879, 513, 344, 516?

You can find a detailed procedure to find GCD of 879, 513, 344, 516 on our page.

3. How to find GCD of 879, 513, 344, 516 on a calculator?

You can find the GCD of 879, 513, 344, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.