GCD of 108, 616, 104, 924 Calculator

Given Input numbers are 108, 616, 104, 924

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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 108, 616, 104, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 616, 104, 924 is 4.

Therefore, GCD of numbers 108, 616, 104, 924 is 4

Given Input Data is 108, 616, 104, 924

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

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(108, 616) = 16632

GCD(108, 616) = ( 108 x 616 ) / 16632

GCD(108, 616) = 66528 / 16632

GCD(108, 616) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 104

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

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

GCD(4, 104) = 416 / 104

GCD(4, 104) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 924

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

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

GCD(4, 924) = 3696 / 924

GCD(4, 924) = 4

GCD of 108, 616, 104, 924 is 4

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1. What is the GCD of 108, 616, 104, 924?

GCD of 108, 616, 104, 924 is 4

2. Where do I get the detailed procedure to find GCD of 108, 616, 104, 924?

You can find a detailed procedure to find GCD of 108, 616, 104, 924 on our page.

3. How to find GCD of 108, 616, 104, 924 on a calculator?

You can find the GCD of 108, 616, 104, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.