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, 718, 996, 174 i.e. 2 largest integer that divides all the numbers equally.
GCD of 302, 718, 996, 174 is 2
GCD(302, 718, 996, 174) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 718, 996, 174 is 2
GCD(302, 718, 996, 174) = 2
Given Input numbers are 302, 718, 996, 174
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 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 302, 718, 996, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 718, 996, 174 is 2.
Therefore, GCD of numbers 302, 718, 996, 174 is 2
Given Input Data is 302, 718, 996, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 718 is 2 x 359
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 174 is 2 x 3 x 29
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, 718) = 108418
GCD(302, 718) = ( 302 x 718 ) / 108418
GCD(302, 718) = 216836 / 108418
GCD(302, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
GCD(2, 996) = 1992 / 996
GCD(2, 996) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
GCD(2, 174) = 348 / 174
GCD(2, 174) = 2
GCD of 302, 718, 996, 174 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 718, 996, 174?
GCD of 302, 718, 996, 174 is 2
2. Where do I get the detailed procedure to find GCD of 302, 718, 996, 174?
You can find a detailed procedure to find GCD of 302, 718, 996, 174 on our page.
3. How to find GCD of 302, 718, 996, 174 on a calculator?
You can find the GCD of 302, 718, 996, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.