GCD of 108, 518, 732 Calculator

Given Input numbers are 108, 518, 732

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 108, 518, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 518, 732 is 2.

Therefore, GCD of numbers 108, 518, 732 is 2

Given Input Data is 108, 518, 732

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(108, 518) = 27972

GCD(108, 518) = ( 108 x 518 ) / 27972

GCD(108, 518) = 55944 / 27972

GCD(108, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 108, 518, 732 is 2

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1. What is the GCD of 108, 518, 732?

GCD of 108, 518, 732 is 2

2. Where do I get the detailed procedure to find GCD of 108, 518, 732?

You can find a detailed procedure to find GCD of 108, 518, 732 on our page.

3. How to find GCD of 108, 518, 732 on a calculator?

You can find the GCD of 108, 518, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.