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, 742, 382, 934 i.e. 2 largest integer that divides all the numbers equally.
GCD of 138, 742, 382, 934 is 2
GCD(138, 742, 382, 934) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 742, 382, 934 is 2
GCD(138, 742, 382, 934) = 2
Given Input numbers are 138, 742, 382, 934
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 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Greatest Common Divisior
We found the divisors of 138, 742, 382, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 742, 382, 934 is 2.
Therefore, GCD of numbers 138, 742, 382, 934 is 2
Given Input Data is 138, 742, 382, 934
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 742 is 2 x 7 x 53
Prime Factorization of 382 is 2 x 191
Prime Factorization of 934 is 2 x 467
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, 742) = 51198
GCD(138, 742) = ( 138 x 742 ) / 51198
GCD(138, 742) = 102396 / 51198
GCD(138, 742) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 934
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 934) = 934
GCD(2, 934) = ( 2 x 934 ) / 934
GCD(2, 934) = 1868 / 934
GCD(2, 934) = 2
GCD of 138, 742, 382, 934 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 742, 382, 934?
GCD of 138, 742, 382, 934 is 2
2. Where do I get the detailed procedure to find GCD of 138, 742, 382, 934?
You can find a detailed procedure to find GCD of 138, 742, 382, 934 on our page.
3. How to find GCD of 138, 742, 382, 934 on a calculator?
You can find the GCD of 138, 742, 382, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.