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 294, 602, 12, 994 i.e. 2 largest integer that divides all the numbers equally.
GCD of 294, 602, 12, 994 is 2
GCD(294, 602, 12, 994) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 602, 12, 994 is 2
GCD(294, 602, 12, 994) = 2
Given Input numbers are 294, 602, 12, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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 294, 602, 12, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 602, 12, 994 is 2.
Therefore, GCD of numbers 294, 602, 12, 994 is 2
Given Input Data is 294, 602, 12, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 994 is 2 x 7 x 71
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(294, 602) = 12642
GCD(294, 602) = ( 294 x 602 ) / 12642
GCD(294, 602) = 176988 / 12642
GCD(294, 602) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 12) = 84
GCD(14, 12) = ( 14 x 12 ) / 84
GCD(14, 12) = 168 / 84
GCD(14, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
GCD(2, 994) = 1988 / 994
GCD(2, 994) = 2
GCD of 294, 602, 12, 994 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 602, 12, 994?
GCD of 294, 602, 12, 994 is 2
2. Where do I get the detailed procedure to find GCD of 294, 602, 12, 994?
You can find a detailed procedure to find GCD of 294, 602, 12, 994 on our page.
3. How to find GCD of 294, 602, 12, 994 on a calculator?
You can find the GCD of 294, 602, 12, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.