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 387, 609, 63, 261 i.e. 3 largest integer that divides all the numbers equally.
GCD of 387, 609, 63, 261 is 3
GCD(387, 609, 63, 261) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 609, 63, 261 is 3
GCD(387, 609, 63, 261) = 3
Given Input numbers are 387, 609, 63, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 387, 609, 63, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 609, 63, 261 is 3.
Therefore, GCD of numbers 387, 609, 63, 261 is 3
Given Input Data is 387, 609, 63, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 261 is 3 x 3 x 29
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(387, 609) = 78561
GCD(387, 609) = ( 387 x 609 ) / 78561
GCD(387, 609) = 235683 / 78561
GCD(387, 609) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 63) = 63
GCD(3, 63) = ( 3 x 63 ) / 63
GCD(3, 63) = 189 / 63
GCD(3, 63) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
GCD(3, 261) = 783 / 261
GCD(3, 261) = 3
GCD of 387, 609, 63, 261 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 609, 63, 261?
GCD of 387, 609, 63, 261 is 3
2. Where do I get the detailed procedure to find GCD of 387, 609, 63, 261?
You can find a detailed procedure to find GCD of 387, 609, 63, 261 on our page.
3. How to find GCD of 387, 609, 63, 261 on a calculator?
You can find the GCD of 387, 609, 63, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.