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 678, 996, 795, 474 i.e. 3 largest integer that divides all the numbers equally.
GCD of 678, 996, 795, 474 is 3
GCD(678, 996, 795, 474) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 996, 795, 474 is 3
GCD(678, 996, 795, 474) = 3
Given Input numbers are 678, 996, 795, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
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 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 678, 996, 795, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 996, 795, 474 is 3.
Therefore, GCD of numbers 678, 996, 795, 474 is 3
Given Input Data is 678, 996, 795, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 474 is 2 x 3 x 79
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(678, 996) = 112548
GCD(678, 996) = ( 678 x 996 ) / 112548
GCD(678, 996) = 675288 / 112548
GCD(678, 996) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 795) = 1590
GCD(6, 795) = ( 6 x 795 ) / 1590
GCD(6, 795) = 4770 / 1590
GCD(6, 795) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
GCD(3, 474) = 1422 / 474
GCD(3, 474) = 3
GCD of 678, 996, 795, 474 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 996, 795, 474?
GCD of 678, 996, 795, 474 is 3
2. Where do I get the detailed procedure to find GCD of 678, 996, 795, 474?
You can find a detailed procedure to find GCD of 678, 996, 795, 474 on our page.
3. How to find GCD of 678, 996, 795, 474 on a calculator?
You can find the GCD of 678, 996, 795, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.