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 207, 137, 82 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 137, 82 is 1
GCD(207, 137, 82) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 137, 82 is 1
GCD(207, 137, 82) = 1
Given Input numbers are 207, 137, 82
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Greatest Common Divisior
We found the divisors of 207, 137, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 137, 82 is 1.
Therefore, GCD of numbers 207, 137, 82 is 1
Given Input Data is 207, 137, 82
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 137 is 137
Prime Factorization of 82 is 2 x 41
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(207, 137) = 28359
GCD(207, 137) = ( 207 x 137 ) / 28359
GCD(207, 137) = 28359 / 28359
GCD(207, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
GCD of 207, 137, 82 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 137, 82?
GCD of 207, 137, 82 is 1
2. Where do I get the detailed procedure to find GCD of 207, 137, 82?
You can find a detailed procedure to find GCD of 207, 137, 82 on our page.
3. How to find GCD of 207, 137, 82 on a calculator?
You can find the GCD of 207, 137, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.