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 51, 837, 621, 390 i.e. 3 largest integer that divides all the numbers equally.
GCD of 51, 837, 621, 390 is 3
GCD(51, 837, 621, 390) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 837, 621, 390 is 3
GCD(51, 837, 621, 390) = 3
Given Input numbers are 51, 837, 621, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 51, 837, 621, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 837, 621, 390 is 3.
Therefore, GCD of numbers 51, 837, 621, 390 is 3
Given Input Data is 51, 837, 621, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 390 is 2 x 3 x 5 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(51, 837) = 14229
GCD(51, 837) = ( 51 x 837 ) / 14229
GCD(51, 837) = 42687 / 14229
GCD(51, 837) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 621) = 621
GCD(3, 621) = ( 3 x 621 ) / 621
GCD(3, 621) = 1863 / 621
GCD(3, 621) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
GCD(3, 390) = 1170 / 390
GCD(3, 390) = 3
GCD of 51, 837, 621, 390 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 837, 621, 390?
GCD of 51, 837, 621, 390 is 3
2. Where do I get the detailed procedure to find GCD of 51, 837, 621, 390?
You can find a detailed procedure to find GCD of 51, 837, 621, 390 on our page.
3. How to find GCD of 51, 837, 621, 390 on a calculator?
You can find the GCD of 51, 837, 621, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.