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 996, 594, 254 i.e. 2 largest integer that divides all the numbers equally.
GCD of 996, 594, 254 is 2
GCD(996, 594, 254) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 594, 254 is 2
GCD(996, 594, 254) = 2
Given Input numbers are 996, 594, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 996, 594, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 594, 254 is 2.
Therefore, GCD of numbers 996, 594, 254 is 2
Given Input Data is 996, 594, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 254 is 2 x 127
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(996, 594) = 98604
GCD(996, 594) = ( 996 x 594 ) / 98604
GCD(996, 594) = 591624 / 98604
GCD(996, 594) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 254) = 762
GCD(6, 254) = ( 6 x 254 ) / 762
GCD(6, 254) = 1524 / 762
GCD(6, 254) = 2
GCD of 996, 594, 254 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 594, 254?
GCD of 996, 594, 254 is 2
2. Where do I get the detailed procedure to find GCD of 996, 594, 254?
You can find a detailed procedure to find GCD of 996, 594, 254 on our page.
3. How to find GCD of 996, 594, 254 on a calculator?
You can find the GCD of 996, 594, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.