GCD of 124, 132, 654 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 124, 132, 654 i.e. 2 largest integer that divides all the numbers equally.

GCD of 124, 132, 654 is 2

GCD(124, 132, 654) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 124, 132, 654 is 2

GCD(124, 132, 654) = 2

GCD of 124,132,654 Calculator

GCDof 124,132,654 is 2

Given Input numbers are 124, 132, 654

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 124, 132, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 132, 654 is 2.

Therefore, GCD of numbers 124, 132, 654 is 2

Finding GCD of 124, 132, 654 using Prime Factorization

Given Input Data is 124, 132, 654

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 654 is 2 x 3 x 109

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 124, 132, 654 using LCM Formula

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(124, 132) = 4092

GCD(124, 132) = ( 124 x 132 ) / 4092

GCD(124, 132) = 16368 / 4092

GCD(124, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 654

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

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

GCD(4, 654) = 2616 / 1308

GCD(4, 654) = 2

GCD of 124, 132, 654 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 124, 132, 654

1. What is the GCD of 124, 132, 654?

GCD of 124, 132, 654 is 2

2. Where do I get the detailed procedure to find GCD of 124, 132, 654?

You can find a detailed procedure to find GCD of 124, 132, 654 on our page.

3. How to find GCD of 124, 132, 654 on a calculator?

You can find the GCD of 124, 132, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.