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, 916, 72, 412 i.e. 2 largest integer that divides all the numbers equally.
GCD of 302, 916, 72, 412 is 2
GCD(302, 916, 72, 412) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 916, 72, 412 is 2
GCD(302, 916, 72, 412) = 2
Given Input numbers are 302, 916, 72, 412
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 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 302, 916, 72, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 916, 72, 412 is 2.
Therefore, GCD of numbers 302, 916, 72, 412 is 2
Given Input Data is 302, 916, 72, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 412 is 2 x 2 x 103
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, 916) = 138316
GCD(302, 916) = ( 302 x 916 ) / 138316
GCD(302, 916) = 276632 / 138316
GCD(302, 916) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
GCD(2, 412) = 824 / 412
GCD(2, 412) = 2
GCD of 302, 916, 72, 412 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 916, 72, 412?
GCD of 302, 916, 72, 412 is 2
2. Where do I get the detailed procedure to find GCD of 302, 916, 72, 412?
You can find a detailed procedure to find GCD of 302, 916, 72, 412 on our page.
3. How to find GCD of 302, 916, 72, 412 on a calculator?
You can find the GCD of 302, 916, 72, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.