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 501, 775, 202, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 775, 202, 231 is 1
GCD(501, 775, 202, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 775, 202, 231 is 1
GCD(501, 775, 202, 231) = 1
Given Input numbers are 501, 775, 202, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 501, 775, 202, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 775, 202, 231 is 1.
Therefore, GCD of numbers 501, 775, 202, 231 is 1
Given Input Data is 501, 775, 202, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 202 is 2 x 101
Prime Factorization of 231 is 3 x 7 x 11
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(501, 775) = 388275
GCD(501, 775) = ( 501 x 775 ) / 388275
GCD(501, 775) = 388275 / 388275
GCD(501, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 501, 775, 202, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 775, 202, 231?
GCD of 501, 775, 202, 231 is 1
2. Where do I get the detailed procedure to find GCD of 501, 775, 202, 231?
You can find a detailed procedure to find GCD of 501, 775, 202, 231 on our page.
3. How to find GCD of 501, 775, 202, 231 on a calculator?
You can find the GCD of 501, 775, 202, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.