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 192, 114, 20, 342 i.e. 2 largest integer that divides all the numbers equally.
GCD of 192, 114, 20, 342 is 2
GCD(192, 114, 20, 342) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 192, 114, 20, 342 is 2
GCD(192, 114, 20, 342) = 2
Given Input numbers are 192, 114, 20, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
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
Greatest Common Divisior
We found the divisors of 192, 114, 20, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 114, 20, 342 is 2.
Therefore, GCD of numbers 192, 114, 20, 342 is 2
Given Input Data is 192, 114, 20, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(192, 114) = 3648
GCD(192, 114) = ( 192 x 114 ) / 3648
GCD(192, 114) = 21888 / 3648
GCD(192, 114) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 20) = 60
GCD(6, 20) = ( 6 x 20 ) / 60
GCD(6, 20) = 120 / 60
GCD(6, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
GCD(2, 342) = 684 / 342
GCD(2, 342) = 2
GCD of 192, 114, 20, 342 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 192, 114, 20, 342?
GCD of 192, 114, 20, 342 is 2
2. Where do I get the detailed procedure to find GCD of 192, 114, 20, 342?
You can find a detailed procedure to find GCD of 192, 114, 20, 342 on our page.
3. How to find GCD of 192, 114, 20, 342 on a calculator?
You can find the GCD of 192, 114, 20, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.