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 238, 430, 314 i.e. 2 largest integer that divides all the numbers equally.
GCD of 238, 430, 314 is 2
GCD(238, 430, 314) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 430, 314 is 2
GCD(238, 430, 314) = 2
Given Input numbers are 238, 430, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 238, 430, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 430, 314 is 2.
Therefore, GCD of numbers 238, 430, 314 is 2
Given Input Data is 238, 430, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 314 is 2 x 157
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(238, 430) = 51170
GCD(238, 430) = ( 238 x 430 ) / 51170
GCD(238, 430) = 102340 / 51170
GCD(238, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
GCD(2, 314) = 628 / 314
GCD(2, 314) = 2
GCD of 238, 430, 314 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 430, 314?
GCD of 238, 430, 314 is 2
2. Where do I get the detailed procedure to find GCD of 238, 430, 314?
You can find a detailed procedure to find GCD of 238, 430, 314 on our page.
3. How to find GCD of 238, 430, 314 on a calculator?
You can find the GCD of 238, 430, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.