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, 223, 949, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 223, 949, 362 is 1
GCD(501, 223, 949, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 223, 949, 362 is 1
GCD(501, 223, 949, 362) = 1
Given Input numbers are 501, 223, 949, 362
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 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 501, 223, 949, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 223, 949, 362 is 1.
Therefore, GCD of numbers 501, 223, 949, 362 is 1
Given Input Data is 501, 223, 949, 362
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 223 is 223
Prime Factorization of 949 is 13 x 73
Prime Factorization of 362 is 2 x 181
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, 223) = 111723
GCD(501, 223) = ( 501 x 223 ) / 111723
GCD(501, 223) = 111723 / 111723
GCD(501, 223) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
GCD of 501, 223, 949, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 223, 949, 362?
GCD of 501, 223, 949, 362 is 1
2. Where do I get the detailed procedure to find GCD of 501, 223, 949, 362?
You can find a detailed procedure to find GCD of 501, 223, 949, 362 on our page.
3. How to find GCD of 501, 223, 949, 362 on a calculator?
You can find the GCD of 501, 223, 949, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.