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 885, 963, 381 i.e. 3 largest integer that divides all the numbers equally.
GCD of 885, 963, 381 is 3
GCD(885, 963, 381) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 885, 963, 381 is 3
GCD(885, 963, 381) = 3
Given Input numbers are 885, 963, 381
To find the GCD of numbers using factoring list out all the divisors of each number
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 885, 963, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 885, 963, 381 is 3.
Therefore, GCD of numbers 885, 963, 381 is 3
Given Input Data is 885, 963, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 381 is 3 x 127
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(885, 963) = 284085
GCD(885, 963) = ( 885 x 963 ) / 284085
GCD(885, 963) = 852255 / 284085
GCD(885, 963) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 381) = 381
GCD(3, 381) = ( 3 x 381 ) / 381
GCD(3, 381) = 1143 / 381
GCD(3, 381) = 3
GCD of 885, 963, 381 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 885, 963, 381?
GCD of 885, 963, 381 is 3
2. Where do I get the detailed procedure to find GCD of 885, 963, 381?
You can find a detailed procedure to find GCD of 885, 963, 381 on our page.
3. How to find GCD of 885, 963, 381 on a calculator?
You can find the GCD of 885, 963, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.