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 312, 885, 651 i.e. 3 largest integer that divides all the numbers equally.
GCD of 312, 885, 651 is 3
GCD(312, 885, 651) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 885, 651 is 3
GCD(312, 885, 651) = 3
Given Input numbers are 312, 885, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 312, 885, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 885, 651 is 3.
Therefore, GCD of numbers 312, 885, 651 is 3
Given Input Data is 312, 885, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 651 is 3 x 7 x 31
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(312, 885) = 92040
GCD(312, 885) = ( 312 x 885 ) / 92040
GCD(312, 885) = 276120 / 92040
GCD(312, 885) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
GCD(3, 651) = 1953 / 651
GCD(3, 651) = 3
GCD of 312, 885, 651 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 885, 651?
GCD of 312, 885, 651 is 3
2. Where do I get the detailed procedure to find GCD of 312, 885, 651?
You can find a detailed procedure to find GCD of 312, 885, 651 on our page.
3. How to find GCD of 312, 885, 651 on a calculator?
You can find the GCD of 312, 885, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.