Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 138, 334, 628, 106 i.e. 2 largest integer that divides all the numbers equally.
GCD of 138, 334, 628, 106 is 2
GCD(138, 334, 628, 106) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 334, 628, 106 is 2
GCD(138, 334, 628, 106) = 2
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
Here are some samples of GCD of Numbers calculations.
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.