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 54, 531, 510, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 531, 510, 629 is 1
GCD(54, 531, 510, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 531, 510, 629 is 1
GCD(54, 531, 510, 629) = 1
Given Input numbers are 54, 531, 510, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 54, 531, 510, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 531, 510, 629 is 1.
Therefore, GCD of numbers 54, 531, 510, 629 is 1
Given Input Data is 54, 531, 510, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 629 is 17 x 37
The above numbers do not have any common prime factor. So GCD is 1
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(54, 531) = 3186
GCD(54, 531) = ( 54 x 531 ) / 3186
GCD(54, 531) = 28674 / 3186
GCD(54, 531) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 510) = 1530
GCD(9, 510) = ( 9 x 510 ) / 1530
GCD(9, 510) = 4590 / 1530
GCD(9, 510) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 629) = 1887
GCD(3, 629) = ( 3 x 629 ) / 1887
GCD(3, 629) = 1887 / 1887
GCD(3, 629) = 1
GCD of 54, 531, 510, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 531, 510, 629?
GCD of 54, 531, 510, 629 is 1
2. Where do I get the detailed procedure to find GCD of 54, 531, 510, 629?
You can find a detailed procedure to find GCD of 54, 531, 510, 629 on our page.
3. How to find GCD of 54, 531, 510, 629 on a calculator?
You can find the GCD of 54, 531, 510, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.