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 367, 908, 80, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 908, 80, 946 is 1
GCD(367, 908, 80, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 908, 80, 946 is 1
GCD(367, 908, 80, 946) = 1
Given Input numbers are 367, 908, 80, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 367, 908, 80, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 908, 80, 946 is 1.
Therefore, GCD of numbers 367, 908, 80, 946 is 1
Given Input Data is 367, 908, 80, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 946 is 2 x 11 x 43
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(367, 908) = 333236
GCD(367, 908) = ( 367 x 908 ) / 333236
GCD(367, 908) = 333236 / 333236
GCD(367, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 367, 908, 80, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 908, 80, 946?
GCD of 367, 908, 80, 946 is 1
2. Where do I get the detailed procedure to find GCD of 367, 908, 80, 946?
You can find a detailed procedure to find GCD of 367, 908, 80, 946 on our page.
3. How to find GCD of 367, 908, 80, 946 on a calculator?
You can find the GCD of 367, 908, 80, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.