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 502, 495, 975, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 495, 975, 810 is 1
GCD(502, 495, 975, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 495, 975, 810 is 1
GCD(502, 495, 975, 810) = 1
Given Input numbers are 502, 495, 975, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 502, 495, 975, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 495, 975, 810 is 1.
Therefore, GCD of numbers 502, 495, 975, 810 is 1
Given Input Data is 502, 495, 975, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(502, 495) = 248490
GCD(502, 495) = ( 502 x 495 ) / 248490
GCD(502, 495) = 248490 / 248490
GCD(502, 495) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 502, 495, 975, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 495, 975, 810?
GCD of 502, 495, 975, 810 is 1
2. Where do I get the detailed procedure to find GCD of 502, 495, 975, 810?
You can find a detailed procedure to find GCD of 502, 495, 975, 810 on our page.
3. How to find GCD of 502, 495, 975, 810 on a calculator?
You can find the GCD of 502, 495, 975, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.