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 80, 874, 236, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 874, 236, 231 is 1
GCD(80, 874, 236, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 874, 236, 231 is 1
GCD(80, 874, 236, 231) = 1
Given Input numbers are 80, 874, 236, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 80, 874, 236, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 874, 236, 231 is 1.
Therefore, GCD of numbers 80, 874, 236, 231 is 1
Given Input Data is 80, 874, 236, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 231 is 3 x 7 x 11
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(80, 874) = 34960
GCD(80, 874) = ( 80 x 874 ) / 34960
GCD(80, 874) = 69920 / 34960
GCD(80, 874) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 231) = 462
GCD(2, 231) = ( 2 x 231 ) / 462
GCD(2, 231) = 462 / 462
GCD(2, 231) = 1
GCD of 80, 874, 236, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 874, 236, 231?
GCD of 80, 874, 236, 231 is 1
2. Where do I get the detailed procedure to find GCD of 80, 874, 236, 231?
You can find a detailed procedure to find GCD of 80, 874, 236, 231 on our page.
3. How to find GCD of 80, 874, 236, 231 on a calculator?
You can find the GCD of 80, 874, 236, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.