GCD of 100, 654, 12 Calculator

Given Input numbers are 100, 654, 12

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

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 100, 654, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 654, 12 is 2.

Therefore, GCD of numbers 100, 654, 12 is 2

Given Input Data is 100, 654, 12

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

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 12 is 2 x 2 x 3

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(100, 654) = 32700

GCD(100, 654) = ( 100 x 654 ) / 32700

GCD(100, 654) = 65400 / 32700

GCD(100, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

GCD of 100, 654, 12 is 2

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• GCD of 438, 276, 81
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1. What is the GCD of 100, 654, 12?

GCD of 100, 654, 12 is 2

2. Where do I get the detailed procedure to find GCD of 100, 654, 12?

You can find a detailed procedure to find GCD of 100, 654, 12 on our page.

3. How to find GCD of 100, 654, 12 on a calculator?

You can find the GCD of 100, 654, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.