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 187, 241, 82, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 187, 241, 82, 428 is 1
GCD(187, 241, 82, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 187, 241, 82, 428 is 1
GCD(187, 241, 82, 428) = 1
Given Input numbers are 187, 241, 82, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 187, 241, 82, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 241, 82, 428 is 1.
Therefore, GCD of numbers 187, 241, 82, 428 is 1
Given Input Data is 187, 241, 82, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 187 is 11 x 17
Prime Factorization of 241 is 241
Prime Factorization of 82 is 2 x 41
Prime Factorization of 428 is 2 x 2 x 107
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(187, 241) = 45067
GCD(187, 241) = ( 187 x 241 ) / 45067
GCD(187, 241) = 45067 / 45067
GCD(187, 241) = 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 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 187, 241, 82, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 187, 241, 82, 428?
GCD of 187, 241, 82, 428 is 1
2. Where do I get the detailed procedure to find GCD of 187, 241, 82, 428?
You can find a detailed procedure to find GCD of 187, 241, 82, 428 on our page.
3. How to find GCD of 187, 241, 82, 428 on a calculator?
You can find the GCD of 187, 241, 82, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.