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 180, 815, 371, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 815, 371, 291 is 1
GCD(180, 815, 371, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 815, 371, 291 is 1
GCD(180, 815, 371, 291) = 1
Given Input numbers are 180, 815, 371, 291
To find the GCD of numbers using factoring list out all the divisors of each number
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 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 180, 815, 371, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 815, 371, 291 is 1.
Therefore, GCD of numbers 180, 815, 371, 291 is 1
Given Input Data is 180, 815, 371, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 815 is 5 x 163
Prime Factorization of 371 is 7 x 53
Prime Factorization of 291 is 3 x 97
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(180, 815) = 29340
GCD(180, 815) = ( 180 x 815 ) / 29340
GCD(180, 815) = 146700 / 29340
GCD(180, 815) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 371) = 1855
GCD(5, 371) = ( 5 x 371 ) / 1855
GCD(5, 371) = 1855 / 1855
GCD(5, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 180, 815, 371, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 815, 371, 291?
GCD of 180, 815, 371, 291 is 1
2. Where do I get the detailed procedure to find GCD of 180, 815, 371, 291?
You can find a detailed procedure to find GCD of 180, 815, 371, 291 on our page.
3. How to find GCD of 180, 815, 371, 291 on a calculator?
You can find the GCD of 180, 815, 371, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.