GCD of 924, 718, 296 Calculator

Given Input numbers are 924, 718, 296

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 718

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

1, 2, 359, 718

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 924, 718, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 718, 296 is 2.

Therefore, GCD of numbers 924, 718, 296 is 2

Given Input Data is 924, 718, 296

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 718 is 2 x 359

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(924, 718) = 331716

GCD(924, 718) = ( 924 x 718 ) / 331716

GCD(924, 718) = 663432 / 331716

GCD(924, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 924, 718, 296 is 2

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1. What is the GCD of 924, 718, 296?

GCD of 924, 718, 296 is 2

2. Where do I get the detailed procedure to find GCD of 924, 718, 296?

You can find a detailed procedure to find GCD of 924, 718, 296 on our page.

3. How to find GCD of 924, 718, 296 on a calculator?

You can find the GCD of 924, 718, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.