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 994, 910, 327, 418 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 910, 327, 418 is 1
GCD(994, 910, 327, 418) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 910, 327, 418 is 1
GCD(994, 910, 327, 418) = 1
Given Input numbers are 994, 910, 327, 418
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Greatest Common Divisior
We found the divisors of 994, 910, 327, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 910, 327, 418 is 1.
Therefore, GCD of numbers 994, 910, 327, 418 is 1
Given Input Data is 994, 910, 327, 418
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 327 is 3 x 109
Prime Factorization of 418 is 2 x 11 x 19
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(994, 910) = 64610
GCD(994, 910) = ( 994 x 910 ) / 64610
GCD(994, 910) = 904540 / 64610
GCD(994, 910) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 327) = 4578
GCD(14, 327) = ( 14 x 327 ) / 4578
GCD(14, 327) = 4578 / 4578
GCD(14, 327) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
GCD of 994, 910, 327, 418 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 910, 327, 418?
GCD of 994, 910, 327, 418 is 1
2. Where do I get the detailed procedure to find GCD of 994, 910, 327, 418?
You can find a detailed procedure to find GCD of 994, 910, 327, 418 on our page.
3. How to find GCD of 994, 910, 327, 418 on a calculator?
You can find the GCD of 994, 910, 327, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.