GCD of 324, 718, 100 Calculator

Given Input numbers are 324, 718, 100

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 324, 718, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 718, 100 is 2.

Therefore, GCD of numbers 324, 718, 100 is 2

Given Input Data is 324, 718, 100

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 718 is 2 x 359

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(324, 718) = 116316

GCD(324, 718) = ( 324 x 718 ) / 116316

GCD(324, 718) = 232632 / 116316

GCD(324, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

GCD of 324, 718, 100 is 2

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1. What is the GCD of 324, 718, 100?

GCD of 324, 718, 100 is 2

2. Where do I get the detailed procedure to find GCD of 324, 718, 100?

You can find a detailed procedure to find GCD of 324, 718, 100 on our page.

3. How to find GCD of 324, 718, 100 on a calculator?

You can find the GCD of 324, 718, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.