GCD of 724, 614, 924 Calculator

Given Input numbers are 724, 614, 924

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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

Greatest Common Divisior

We found the divisors of 724, 614, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 614, 924 is 2.

Therefore, GCD of numbers 724, 614, 924 is 2

Given Input Data is 724, 614, 924

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 614 is 2 x 307

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

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(724, 614) = 222268

GCD(724, 614) = ( 724 x 614 ) / 222268

GCD(724, 614) = 444536 / 222268

GCD(724, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 724, 614, 924 is 2

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1. What is the GCD of 724, 614, 924?

GCD of 724, 614, 924 is 2

2. Where do I get the detailed procedure to find GCD of 724, 614, 924?

You can find a detailed procedure to find GCD of 724, 614, 924 on our page.

3. How to find GCD of 724, 614, 924 on a calculator?

You can find the GCD of 724, 614, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.