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, 302, 14, 646 i.e. 2 largest integer that divides all the numbers equally.
GCD of 342, 302, 14, 646 is 2
GCD(342, 302, 14, 646) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 302, 14, 646 is 2
GCD(342, 302, 14, 646) = 2
Given Input numbers are 342, 302, 14, 646
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 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 342, 302, 14, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 302, 14, 646 is 2.
Therefore, GCD of numbers 342, 302, 14, 646 is 2
Given Input Data is 342, 302, 14, 646
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 302 is 2 x 151
Prime Factorization of 14 is 2 x 7
Prime Factorization of 646 is 2 x 17 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(342, 302) = 51642
GCD(342, 302) = ( 342 x 302 ) / 51642
GCD(342, 302) = 103284 / 51642
GCD(342, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
GCD(2, 14) = 28 / 14
GCD(2, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
GCD(2, 646) = 1292 / 646
GCD(2, 646) = 2
GCD of 342, 302, 14, 646 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 302, 14, 646?
GCD of 342, 302, 14, 646 is 2
2. Where do I get the detailed procedure to find GCD of 342, 302, 14, 646?
You can find a detailed procedure to find GCD of 342, 302, 14, 646 on our page.
3. How to find GCD of 342, 302, 14, 646 on a calculator?
You can find the GCD of 342, 302, 14, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.