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 82, 377, 137, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 377, 137, 138 is 1
GCD(82, 377, 137, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 377, 137, 138 is 1
GCD(82, 377, 137, 138) = 1
Given Input numbers are 82, 377, 137, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 82, 377, 137, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 377, 137, 138 is 1.
Therefore, GCD of numbers 82, 377, 137, 138 is 1
Given Input Data is 82, 377, 137, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 377 is 13 x 29
Prime Factorization of 137 is 137
Prime Factorization of 138 is 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
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(82, 377) = 30914
GCD(82, 377) = ( 82 x 377 ) / 30914
GCD(82, 377) = 30914 / 30914
GCD(82, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 82, 377, 137, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 377, 137, 138?
GCD of 82, 377, 137, 138 is 1
2. Where do I get the detailed procedure to find GCD of 82, 377, 137, 138?
You can find a detailed procedure to find GCD of 82, 377, 137, 138 on our page.
3. How to find GCD of 82, 377, 137, 138 on a calculator?
You can find the GCD of 82, 377, 137, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.