GCD of 609, 357, 924 Calculator

Given Input numbers are 609, 357, 924

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

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 609, 357, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 357, 924 is 21.

Therefore, GCD of numbers 609, 357, 924 is 21

Given Input Data is 609, 357, 924

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 357 is 3 x 7 x 17

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

Highest common occurrences in the given inputs are 3¹ x 7¹

Multiplying them we get the GCD as 21

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(609, 357) = 10353

GCD(609, 357) = ( 609 x 357 ) / 10353

GCD(609, 357) = 217413 / 10353

GCD(609, 357) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 924

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

LCM(21, 924) = 924

GCD(21, 924) = ( 21 x 924 ) / 924

GCD(21, 924) = 19404 / 924

GCD(21, 924) = 21

GCD of 609, 357, 924 is 21

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1. What is the GCD of 609, 357, 924?

GCD of 609, 357, 924 is 21

2. Where do I get the detailed procedure to find GCD of 609, 357, 924?

You can find a detailed procedure to find GCD of 609, 357, 924 on our page.

3. How to find GCD of 609, 357, 924 on a calculator?

You can find the GCD of 609, 357, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.