GCD of 518, 559, 739, 914 Calculator

Given Input numbers are 518, 559, 739, 914

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 739

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

1, 739

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 518, 559, 739, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 559, 739, 914 is 1.

Therefore, GCD of numbers 518, 559, 739, 914 is 1

Given Input Data is 518, 559, 739, 914

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 559 is 13 x 43

Prime Factorization of 739 is 739

Prime Factorization of 914 is 2 x 457

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(518, 559) = 289562

GCD(518, 559) = ( 518 x 559 ) / 289562

GCD(518, 559) = 289562 / 289562

GCD(518, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 518, 559, 739, 914 is 1

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1. What is the GCD of 518, 559, 739, 914?

GCD of 518, 559, 739, 914 is 1

2. Where do I get the detailed procedure to find GCD of 518, 559, 739, 914?

You can find a detailed procedure to find GCD of 518, 559, 739, 914 on our page.

3. How to find GCD of 518, 559, 739, 914 on a calculator?

You can find the GCD of 518, 559, 739, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.