GCD of 726, 478, 518, 129 Calculator

Given Input numbers are 726, 478, 518, 129

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 726, 478, 518, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 478, 518, 129 is 1.

Therefore, GCD of numbers 726, 478, 518, 129 is 1

Given Input Data is 726, 478, 518, 129

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 478 is 2 x 239

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 129 is 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(726, 478) = 173514

GCD(726, 478) = ( 726 x 478 ) / 173514

GCD(726, 478) = 347028 / 173514

GCD(726, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 518

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

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

GCD(2, 518) = 1036 / 518

GCD(2, 518) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

GCD of 726, 478, 518, 129 is 1

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1. What is the GCD of 726, 478, 518, 129?

GCD of 726, 478, 518, 129 is 1

2. Where do I get the detailed procedure to find GCD of 726, 478, 518, 129?

You can find a detailed procedure to find GCD of 726, 478, 518, 129 on our page.

3. How to find GCD of 726, 478, 518, 129 on a calculator?

You can find the GCD of 726, 478, 518, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.