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, 997, 621, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 510, 997, 621, 736 is 1
GCD(510, 997, 621, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 510, 997, 621, 736 is 1
GCD(510, 997, 621, 736) = 1
Given Input numbers are 510, 997, 621, 736
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 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
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 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 510, 997, 621, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 997, 621, 736 is 1.
Therefore, GCD of numbers 510, 997, 621, 736 is 1
Given Input Data is 510, 997, 621, 736
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 997 is 997
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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, 997) = 508470
GCD(510, 997) = ( 510 x 997 ) / 508470
GCD(510, 997) = 508470 / 508470
GCD(510, 997) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 510, 997, 621, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 510, 997, 621, 736?
GCD of 510, 997, 621, 736 is 1
2. Where do I get the detailed procedure to find GCD of 510, 997, 621, 736?
You can find a detailed procedure to find GCD of 510, 997, 621, 736 on our page.
3. How to find GCD of 510, 997, 621, 736 on a calculator?
You can find the GCD of 510, 997, 621, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.