GCD of 138, 334, 628, 106 Calculator

Given Input numbers are 138, 334, 628, 106

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

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 138, 334, 628, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 334, 628, 106 is 2.

Therefore, GCD of numbers 138, 334, 628, 106 is 2

Given Input Data is 138, 334, 628, 106

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 106 is 2 x 53

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(138, 334) = 23046

GCD(138, 334) = ( 138 x 334 ) / 23046

GCD(138, 334) = 46092 / 23046

GCD(138, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 138, 334, 628, 106 is 2

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1. What is the GCD of 138, 334, 628, 106?

GCD of 138, 334, 628, 106 is 2

2. Where do I get the detailed procedure to find GCD of 138, 334, 628, 106?

You can find a detailed procedure to find GCD of 138, 334, 628, 106 on our page.

3. How to find GCD of 138, 334, 628, 106 on a calculator?

You can find the GCD of 138, 334, 628, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.