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 236, 130, 82, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 130, 82, 111 is 1
GCD(236, 130, 82, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 130, 82, 111 is 1
GCD(236, 130, 82, 111) = 1
Given Input numbers are 236, 130, 82, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 236, 130, 82, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 130, 82, 111 is 1.
Therefore, GCD of numbers 236, 130, 82, 111 is 1
Given Input Data is 236, 130, 82, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 82 is 2 x 41
Prime Factorization of 111 is 3 x 37
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(236, 130) = 15340
GCD(236, 130) = ( 236 x 130 ) / 15340
GCD(236, 130) = 30680 / 15340
GCD(236, 130) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 82) = 82
GCD(2, 82) = ( 2 x 82 ) / 82
GCD(2, 82) = 164 / 82
GCD(2, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 111) = 222
GCD(2, 111) = ( 2 x 111 ) / 222
GCD(2, 111) = 222 / 222
GCD(2, 111) = 1
GCD of 236, 130, 82, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 130, 82, 111?
GCD of 236, 130, 82, 111 is 1
2. Where do I get the detailed procedure to find GCD of 236, 130, 82, 111?
You can find a detailed procedure to find GCD of 236, 130, 82, 111 on our page.
3. How to find GCD of 236, 130, 82, 111 on a calculator?
You can find the GCD of 236, 130, 82, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.