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 342, 994, 12, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 994, 12, 407 is 1
GCD(342, 994, 12, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 994, 12, 407 is 1
GCD(342, 994, 12, 407) = 1
Given Input numbers are 342, 994, 12, 407
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 342, 994, 12, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 994, 12, 407 is 1.
Therefore, GCD of numbers 342, 994, 12, 407 is 1
Given Input Data is 342, 994, 12, 407
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 407 is 11 x 37
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(342, 994) = 169974
GCD(342, 994) = ( 342 x 994 ) / 169974
GCD(342, 994) = 339948 / 169974
GCD(342, 994) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
GCD of 342, 994, 12, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 994, 12, 407?
GCD of 342, 994, 12, 407 is 1
2. Where do I get the detailed procedure to find GCD of 342, 994, 12, 407?
You can find a detailed procedure to find GCD of 342, 994, 12, 407 on our page.
3. How to find GCD of 342, 994, 12, 407 on a calculator?
You can find the GCD of 342, 994, 12, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.