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 131, 137, 82, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 137, 82, 431 is 1
GCD(131, 137, 82, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 137, 82, 431 is 1
GCD(131, 137, 82, 431) = 1
Given Input numbers are 131, 137, 82, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
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
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 131, 137, 82, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 137, 82, 431 is 1.
Therefore, GCD of numbers 131, 137, 82, 431 is 1
Given Input Data is 131, 137, 82, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 137 is 137
Prime Factorization of 82 is 2 x 41
Prime Factorization of 431 is 431
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(131, 137) = 17947
GCD(131, 137) = ( 131 x 137 ) / 17947
GCD(131, 137) = 17947 / 17947
GCD(131, 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 131, 137, 82, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 137, 82, 431?
GCD of 131, 137, 82, 431 is 1
2. Where do I get the detailed procedure to find GCD of 131, 137, 82, 431?
You can find a detailed procedure to find GCD of 131, 137, 82, 431 on our page.
3. How to find GCD of 131, 137, 82, 431 on a calculator?
You can find the GCD of 131, 137, 82, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.