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 382, 413, 878, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 413, 878, 180 is 1
GCD(382, 413, 878, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 413, 878, 180 is 1
GCD(382, 413, 878, 180) = 1
Given Input numbers are 382, 413, 878, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
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
Greatest Common Divisior
We found the divisors of 382, 413, 878, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 413, 878, 180 is 1.
Therefore, GCD of numbers 382, 413, 878, 180 is 1
Given Input Data is 382, 413, 878, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 413 is 7 x 59
Prime Factorization of 878 is 2 x 439
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(382, 413) = 157766
GCD(382, 413) = ( 382 x 413 ) / 157766
GCD(382, 413) = 157766 / 157766
GCD(382, 413) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 382, 413, 878, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 413, 878, 180?
GCD of 382, 413, 878, 180 is 1
2. Where do I get the detailed procedure to find GCD of 382, 413, 878, 180?
You can find a detailed procedure to find GCD of 382, 413, 878, 180 on our page.
3. How to find GCD of 382, 413, 878, 180 on a calculator?
You can find the GCD of 382, 413, 878, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.