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 624, 349, 50, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 624, 349, 50, 510 is 1
GCD(624, 349, 50, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 624, 349, 50, 510 is 1
GCD(624, 349, 50, 510) = 1
Given Input numbers are 624, 349, 50, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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
Greatest Common Divisior
We found the divisors of 624, 349, 50, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 349, 50, 510 is 1.
Therefore, GCD of numbers 624, 349, 50, 510 is 1
Given Input Data is 624, 349, 50, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 349 is 349
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(624, 349) = 217776
GCD(624, 349) = ( 624 x 349 ) / 217776
GCD(624, 349) = 217776 / 217776
GCD(624, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 624, 349, 50, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 624, 349, 50, 510?
GCD of 624, 349, 50, 510 is 1
2. Where do I get the detailed procedure to find GCD of 624, 349, 50, 510?
You can find a detailed procedure to find GCD of 624, 349, 50, 510 on our page.
3. How to find GCD of 624, 349, 50, 510 on a calculator?
You can find the GCD of 624, 349, 50, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.