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, 460, 276, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 460, 276, 123 is 1
GCD(994, 460, 276, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 460, 276, 123 is 1
GCD(994, 460, 276, 123) = 1
Given Input numbers are 994, 460, 276, 123
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 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 994, 460, 276, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 460, 276, 123 is 1.
Therefore, GCD of numbers 994, 460, 276, 123 is 1
Given Input Data is 994, 460, 276, 123
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 460 is 2 x 2 x 5 x 23
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 123 is 3 x 41
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, 460) = 228620
GCD(994, 460) = ( 994 x 460 ) / 228620
GCD(994, 460) = 457240 / 228620
GCD(994, 460) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 276) = 276
GCD(2, 276) = ( 2 x 276 ) / 276
GCD(2, 276) = 552 / 276
GCD(2, 276) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
GCD(2, 123) = 246 / 246
GCD(2, 123) = 1
GCD of 994, 460, 276, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 460, 276, 123?
GCD of 994, 460, 276, 123 is 1
2. Where do I get the detailed procedure to find GCD of 994, 460, 276, 123?
You can find a detailed procedure to find GCD of 994, 460, 276, 123 on our page.
3. How to find GCD of 994, 460, 276, 123 on a calculator?
You can find the GCD of 994, 460, 276, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.