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 87, 239, 441, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 239, 441, 296 is 1
GCD(87, 239, 441, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 239, 441, 296 is 1
GCD(87, 239, 441, 296) = 1
Given Input numbers are 87, 239, 441, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 87, 239, 441, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 239, 441, 296 is 1.
Therefore, GCD of numbers 87, 239, 441, 296 is 1
Given Input Data is 87, 239, 441, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 239 is 239
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 296 is 2 x 2 x 2 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(87, 239) = 20793
GCD(87, 239) = ( 87 x 239 ) / 20793
GCD(87, 239) = 20793 / 20793
GCD(87, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 87, 239, 441, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 239, 441, 296?
GCD of 87, 239, 441, 296 is 1
2. Where do I get the detailed procedure to find GCD of 87, 239, 441, 296?
You can find a detailed procedure to find GCD of 87, 239, 441, 296 on our page.
3. How to find GCD of 87, 239, 441, 296 on a calculator?
You can find the GCD of 87, 239, 441, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.