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 756, 351, 864 i.e. 27 largest integer that divides all the numbers equally.
GCD of 756, 351, 864 is 27
GCD(756, 351, 864) = 27
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 351, 864 is 27
GCD(756, 351, 864) = 27
Given Input numbers are 756, 351, 864
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Greatest Common Divisior
We found the divisors of 756, 351, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 351, 864 is 27.
Therefore, GCD of numbers 756, 351, 864 is 27
Given Input Data is 756, 351, 864
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 33
Multiplying them we get the GCD as 27
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(756, 351) = 9828
GCD(756, 351) = ( 756 x 351 ) / 9828
GCD(756, 351) = 265356 / 9828
GCD(756, 351) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 864) = 864
GCD(27, 864) = ( 27 x 864 ) / 864
GCD(27, 864) = 23328 / 864
GCD(27, 864) = 27
GCD of 756, 351, 864 is 27
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 351, 864?
GCD of 756, 351, 864 is 27
2. Where do I get the detailed procedure to find GCD of 756, 351, 864?
You can find a detailed procedure to find GCD of 756, 351, 864 on our page.
3. How to find GCD of 756, 351, 864 on a calculator?
You can find the GCD of 756, 351, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.