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 195, 727, 440, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 727, 440, 994 is 1
GCD(195, 727, 440, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 727, 440, 994 is 1
GCD(195, 727, 440, 994) = 1
Given Input numbers are 195, 727, 440, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 195, 727, 440, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 727, 440, 994 is 1.
Therefore, GCD of numbers 195, 727, 440, 994 is 1
Given Input Data is 195, 727, 440, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 727 is 727
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 994 is 2 x 7 x 71
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(195, 727) = 141765
GCD(195, 727) = ( 195 x 727 ) / 141765
GCD(195, 727) = 141765 / 141765
GCD(195, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 195, 727, 440, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 727, 440, 994?
GCD of 195, 727, 440, 994 is 1
2. Where do I get the detailed procedure to find GCD of 195, 727, 440, 994?
You can find a detailed procedure to find GCD of 195, 727, 440, 994 on our page.
3. How to find GCD of 195, 727, 440, 994 on a calculator?
You can find the GCD of 195, 727, 440, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.