GCD of 310, 988, 108 Calculator

Given Input numbers are 310, 988, 108

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

Greatest Common Divisior

We found the divisors of 310, 988, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 988, 108 is 2.

Therefore, GCD of numbers 310, 988, 108 is 2

Given Input Data is 310, 988, 108

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

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(310, 988) = 153140

GCD(310, 988) = ( 310 x 988 ) / 153140

GCD(310, 988) = 306280 / 153140

GCD(310, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 310, 988, 108 is 2

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1. What is the GCD of 310, 988, 108?

GCD of 310, 988, 108 is 2

2. Where do I get the detailed procedure to find GCD of 310, 988, 108?

You can find a detailed procedure to find GCD of 310, 988, 108 on our page.

3. How to find GCD of 310, 988, 108 on a calculator?

You can find the GCD of 310, 988, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.