GCD of 924, 279, 126 Calculator

Given Input numbers are 924, 279, 126

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 924, 279, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 279, 126 is 3.

Therefore, GCD of numbers 924, 279, 126 is 3

Given Input Data is 924, 279, 126

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 126 is 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(924, 279) = 85932

GCD(924, 279) = ( 924 x 279 ) / 85932

GCD(924, 279) = 257796 / 85932

GCD(924, 279) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

GCD of 924, 279, 126 is 3

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1. What is the GCD of 924, 279, 126?

GCD of 924, 279, 126 is 3

2. Where do I get the detailed procedure to find GCD of 924, 279, 126?

You can find a detailed procedure to find GCD of 924, 279, 126 on our page.

3. How to find GCD of 924, 279, 126 on a calculator?

You can find the GCD of 924, 279, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.