GCD of 616, 924, 204 Calculator

Given Input numbers are 616, 924, 204

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 616, 924, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 924, 204 is 4.

Therefore, GCD of numbers 616, 924, 204 is 4

Given Input Data is 616, 924, 204

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(616, 924) = 1848

GCD(616, 924) = ( 616 x 924 ) / 1848

GCD(616, 924) = 569184 / 1848

GCD(616, 924) = 308

Step2:

Here we consider the GCD from the above i.e. 308 as first number and the next as 204

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

LCM(308, 204) = 15708

GCD(308, 204) = ( 308 x 204 ) / 15708

GCD(308, 204) = 62832 / 15708

GCD(308, 204) = 4

GCD of 616, 924, 204 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 580, 439
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• GCD of 383, 314, 587
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1. What is the GCD of 616, 924, 204?

GCD of 616, 924, 204 is 4

2. Where do I get the detailed procedure to find GCD of 616, 924, 204?

You can find a detailed procedure to find GCD of 616, 924, 204 on our page.

3. How to find GCD of 616, 924, 204 on a calculator?

You can find the GCD of 616, 924, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.