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 872, 246, 610, 774 i.e. 2 largest integer that divides all the numbers equally.
GCD of 872, 246, 610, 774 is 2
GCD(872, 246, 610, 774) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 246, 610, 774 is 2
GCD(872, 246, 610, 774) = 2
Given Input numbers are 872, 246, 610, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 872, 246, 610, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 246, 610, 774 is 2.
Therefore, GCD of numbers 872, 246, 610, 774 is 2
Given Input Data is 872, 246, 610, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 774 is 2 x 3 x 3 x 43
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(872, 246) = 107256
GCD(872, 246) = ( 872 x 246 ) / 107256
GCD(872, 246) = 214512 / 107256
GCD(872, 246) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 610) = 610
GCD(2, 610) = ( 2 x 610 ) / 610
GCD(2, 610) = 1220 / 610
GCD(2, 610) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 774) = 774
GCD(2, 774) = ( 2 x 774 ) / 774
GCD(2, 774) = 1548 / 774
GCD(2, 774) = 2
GCD of 872, 246, 610, 774 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 246, 610, 774?
GCD of 872, 246, 610, 774 is 2
2. Where do I get the detailed procedure to find GCD of 872, 246, 610, 774?
You can find a detailed procedure to find GCD of 872, 246, 610, 774 on our page.
3. How to find GCD of 872, 246, 610, 774 on a calculator?
You can find the GCD of 872, 246, 610, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.