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 546, 328, 878 i.e. 2 largest integer that divides all the numbers equally.
GCD of 546, 328, 878 is 2
GCD(546, 328, 878) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 328, 878 is 2
GCD(546, 328, 878) = 2
Given Input numbers are 546, 328, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 546, 328, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 328, 878 is 2.
Therefore, GCD of numbers 546, 328, 878 is 2
Given Input Data is 546, 328, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 878 is 2 x 439
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(546, 328) = 89544
GCD(546, 328) = ( 546 x 328 ) / 89544
GCD(546, 328) = 179088 / 89544
GCD(546, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 878) = 878
GCD(2, 878) = ( 2 x 878 ) / 878
GCD(2, 878) = 1756 / 878
GCD(2, 878) = 2
GCD of 546, 328, 878 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 328, 878?
GCD of 546, 328, 878 is 2
2. Where do I get the detailed procedure to find GCD of 546, 328, 878?
You can find a detailed procedure to find GCD of 546, 328, 878 on our page.
3. How to find GCD of 546, 328, 878 on a calculator?
You can find the GCD of 546, 328, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.