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 302, 460, 234, 220 i.e. 2 largest integer that divides all the numbers equally.
GCD of 302, 460, 234, 220 is 2
GCD(302, 460, 234, 220) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 460, 234, 220 is 2
GCD(302, 460, 234, 220) = 2
Given Input numbers are 302, 460, 234, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 302, 460, 234, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 460, 234, 220 is 2.
Therefore, GCD of numbers 302, 460, 234, 220 is 2
Given Input Data is 302, 460, 234, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(302, 460) = 69460
GCD(302, 460) = ( 302 x 460 ) / 69460
GCD(302, 460) = 138920 / 69460
GCD(302, 460) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
GCD(2, 234) = 468 / 234
GCD(2, 234) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
GCD(2, 220) = 440 / 220
GCD(2, 220) = 2
GCD of 302, 460, 234, 220 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 460, 234, 220?
GCD of 302, 460, 234, 220 is 2
2. Where do I get the detailed procedure to find GCD of 302, 460, 234, 220?
You can find a detailed procedure to find GCD of 302, 460, 234, 220 on our page.
3. How to find GCD of 302, 460, 234, 220 on a calculator?
You can find the GCD of 302, 460, 234, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.