GCD of 108, 138, 334, 266 Calculator

Given Input numbers are 108, 138, 334, 266

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 108, 138, 334, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 138, 334, 266 is 2.

Therefore, GCD of numbers 108, 138, 334, 266 is 2

Given Input Data is 108, 138, 334, 266

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 138 is 2 x 3 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 266 is 2 x 7 x 19

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, 138) = 2484

GCD(108, 138) = ( 108 x 138 ) / 2484

GCD(108, 138) = 14904 / 2484

GCD(108, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 334

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

LCM(6, 334) = 1002

GCD(6, 334) = ( 6 x 334 ) / 1002

GCD(6, 334) = 2004 / 1002

GCD(6, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 108, 138, 334, 266 is 2

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1. What is the GCD of 108, 138, 334, 266?

GCD of 108, 138, 334, 266 is 2

2. Where do I get the detailed procedure to find GCD of 108, 138, 334, 266?

You can find a detailed procedure to find GCD of 108, 138, 334, 266 on our page.

3. How to find GCD of 108, 138, 334, 266 on a calculator?

You can find the GCD of 108, 138, 334, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.