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 492, 646, 78, 872 i.e. 2 largest integer that divides all the numbers equally.
GCD of 492, 646, 78, 872 is 2
GCD(492, 646, 78, 872) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 646, 78, 872 is 2
GCD(492, 646, 78, 872) = 2
Given Input numbers are 492, 646, 78, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 492, 646, 78, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 646, 78, 872 is 2.
Therefore, GCD of numbers 492, 646, 78, 872 is 2
Given Input Data is 492, 646, 78, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(492, 646) = 158916
GCD(492, 646) = ( 492 x 646 ) / 158916
GCD(492, 646) = 317832 / 158916
GCD(492, 646) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 78) = 78
GCD(2, 78) = ( 2 x 78 ) / 78
GCD(2, 78) = 156 / 78
GCD(2, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
GCD(2, 872) = 1744 / 872
GCD(2, 872) = 2
GCD of 492, 646, 78, 872 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 646, 78, 872?
GCD of 492, 646, 78, 872 is 2
2. Where do I get the detailed procedure to find GCD of 492, 646, 78, 872?
You can find a detailed procedure to find GCD of 492, 646, 78, 872 on our page.
3. How to find GCD of 492, 646, 78, 872 on a calculator?
You can find the GCD of 492, 646, 78, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.