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 510, 753, 367, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 753, 367, 629 is 1
GCD(510, 753, 367, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 753, 367, 629 is 1
GCD(510, 753, 367, 629) = 1
Given Input numbers are 510, 753, 367, 629
To find the GCD of numbers using factoring list out all the divisors of each number
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
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 510, 753, 367, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 753, 367, 629 is 1.
Therefore, GCD of numbers 510, 753, 367, 629 is 1
Given Input Data is 510, 753, 367, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 753 is 3 x 251
Prime Factorization of 367 is 367
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(510, 753) = 128010
GCD(510, 753) = ( 510 x 753 ) / 128010
GCD(510, 753) = 384030 / 128010
GCD(510, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 367) = 1101
GCD(3, 367) = ( 3 x 367 ) / 1101
GCD(3, 367) = 1101 / 1101
GCD(3, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 510, 753, 367, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 753, 367, 629?
GCD of 510, 753, 367, 629 is 1
2. Where do I get the detailed procedure to find GCD of 510, 753, 367, 629?
You can find a detailed procedure to find GCD of 510, 753, 367, 629 on our page.
3. How to find GCD of 510, 753, 367, 629 on a calculator?
You can find the GCD of 510, 753, 367, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.