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 378, 564, 954, 819 i.e. 3 largest integer that divides all the numbers equally.
GCD of 378, 564, 954, 819 is 3
GCD(378, 564, 954, 819) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 564, 954, 819 is 3
GCD(378, 564, 954, 819) = 3
Given Input numbers are 378, 564, 954, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 378, 564, 954, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 564, 954, 819 is 3.
Therefore, GCD of numbers 378, 564, 954, 819 is 3
Given Input Data is 378, 564, 954, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(378, 564) = 35532
GCD(378, 564) = ( 378 x 564 ) / 35532
GCD(378, 564) = 213192 / 35532
GCD(378, 564) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 954) = 954
GCD(6, 954) = ( 6 x 954 ) / 954
GCD(6, 954) = 5724 / 954
GCD(6, 954) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 819) = 1638
GCD(6, 819) = ( 6 x 819 ) / 1638
GCD(6, 819) = 4914 / 1638
GCD(6, 819) = 3
GCD of 378, 564, 954, 819 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 564, 954, 819?
GCD of 378, 564, 954, 819 is 3
2. Where do I get the detailed procedure to find GCD of 378, 564, 954, 819?
You can find a detailed procedure to find GCD of 378, 564, 954, 819 on our page.
3. How to find GCD of 378, 564, 954, 819 on a calculator?
You can find the GCD of 378, 564, 954, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.