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 437, 180, 82, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 180, 82, 113 is 1
GCD(437, 180, 82, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 180, 82, 113 is 1
GCD(437, 180, 82, 113) = 1
Given Input numbers are 437, 180, 82, 113
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 437, 180, 82, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 180, 82, 113 is 1.
Therefore, GCD of numbers 437, 180, 82, 113 is 1
Given Input Data is 437, 180, 82, 113
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 82 is 2 x 41
Prime Factorization of 113 is 113
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(437, 180) = 78660
GCD(437, 180) = ( 437 x 180 ) / 78660
GCD(437, 180) = 78660 / 78660
GCD(437, 180) = 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 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 437, 180, 82, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 180, 82, 113?
GCD of 437, 180, 82, 113 is 1
2. Where do I get the detailed procedure to find GCD of 437, 180, 82, 113?
You can find a detailed procedure to find GCD of 437, 180, 82, 113 on our page.
3. How to find GCD of 437, 180, 82, 113 on a calculator?
You can find the GCD of 437, 180, 82, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.