GCD of 108, 620, 38, 292 Calculator

Given Input numbers are 108, 620, 38, 292

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 108, 620, 38, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 620, 38, 292 is 2.

Therefore, GCD of numbers 108, 620, 38, 292 is 2

Given Input Data is 108, 620, 38, 292

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 38 is 2 x 19

Prime Factorization of 292 is 2 x 2 x 73

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(108, 620) = 16740

GCD(108, 620) = ( 108 x 620 ) / 16740

GCD(108, 620) = 66960 / 16740

GCD(108, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 108, 620, 38, 292 is 2

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• GCD of 431, 638, 82, 879
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1. What is the GCD of 108, 620, 38, 292?

GCD of 108, 620, 38, 292 is 2

2. Where do I get the detailed procedure to find GCD of 108, 620, 38, 292?

You can find a detailed procedure to find GCD of 108, 620, 38, 292 on our page.

3. How to find GCD of 108, 620, 38, 292 on a calculator?

You can find the GCD of 108, 620, 38, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.