GCD of 342, 396, 214 Calculator
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, 396, 214 i.e. 2 largest integer that divides all the numbers equally.
GCD of 342, 396, 214 is 2
GCD(342, 396, 214) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 396, 214 is 2
GCD(342, 396, 214) = 2
GCDof 342,396,214 is 2
Given Input numbers are 342, 396, 214
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 342, 396, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 396, 214 is 2.
Therefore, GCD of numbers 342, 396, 214 is 2
Given Input Data is 342, 396, 214
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 214 is 2 x 107
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 342, 396, 214 using LCM Formula
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, 396) = 7524
GCD(342, 396) = ( 342 x 396 ) / 7524
GCD(342, 396) = 135432 / 7524
GCD(342, 396) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 214) = 1926
GCD(18, 214) = ( 18 x 214 ) / 1926
GCD(18, 214) = 3852 / 1926
GCD(18, 214) = 2
GCD of 342, 396, 214 is 2
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FAQs on GCD of numbers 342, 396, 214
1. What is the GCD of 342, 396, 214?
GCD of 342, 396, 214 is 2
2. Where do I get the detailed procedure to find GCD of 342, 396, 214?
You can find a detailed procedure to find GCD of 342, 396, 214 on our page.
3. How to find GCD of 342, 396, 214 on a calculator?
You can find the GCD of 342, 396, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.