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 360, 337, 472, 794 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 337, 472, 794 is 1
GCD(360, 337, 472, 794) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 337, 472, 794 is 1
GCD(360, 337, 472, 794) = 1
Given Input numbers are 360, 337, 472, 794
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Greatest Common Divisior
We found the divisors of 360, 337, 472, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 337, 472, 794 is 1.
Therefore, GCD of numbers 360, 337, 472, 794 is 1
Given Input Data is 360, 337, 472, 794
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 337 is 337
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 794 is 2 x 397
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(360, 337) = 121320
GCD(360, 337) = ( 360 x 337 ) / 121320
GCD(360, 337) = 121320 / 121320
GCD(360, 337) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 794) = 794
GCD(1, 794) = ( 1 x 794 ) / 794
GCD(1, 794) = 794 / 794
GCD(1, 794) = 1
GCD of 360, 337, 472, 794 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 337, 472, 794?
GCD of 360, 337, 472, 794 is 1
2. Where do I get the detailed procedure to find GCD of 360, 337, 472, 794?
You can find a detailed procedure to find GCD of 360, 337, 472, 794 on our page.
3. How to find GCD of 360, 337, 472, 794 on a calculator?
You can find the GCD of 360, 337, 472, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.