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, 535, 255, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 502, 535, 255, 223 is 1
GCD(502, 535, 255, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 502, 535, 255, 223 is 1
GCD(502, 535, 255, 223) = 1
Given Input numbers are 502, 535, 255, 223
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 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 502, 535, 255, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 535, 255, 223 is 1.
Therefore, GCD of numbers 502, 535, 255, 223 is 1
Given Input Data is 502, 535, 255, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 502 is 2 x 251
Prime Factorization of 535 is 5 x 107
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 223 is 223
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, 535) = 268570
GCD(502, 535) = ( 502 x 535 ) / 268570
GCD(502, 535) = 268570 / 268570
GCD(502, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 502, 535, 255, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 502, 535, 255, 223?
GCD of 502, 535, 255, 223 is 1
2. Where do I get the detailed procedure to find GCD of 502, 535, 255, 223?
You can find a detailed procedure to find GCD of 502, 535, 255, 223 on our page.
3. How to find GCD of 502, 535, 255, 223 on a calculator?
You can find the GCD of 502, 535, 255, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.