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 223, 909, 60, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 223, 909, 60, 501 is 1
GCD(223, 909, 60, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 223, 909, 60, 501 is 1
GCD(223, 909, 60, 501) = 1
Given Input numbers are 223, 909, 60, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 223, 909, 60, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 223, 909, 60, 501 is 1.
Therefore, GCD of numbers 223, 909, 60, 501 is 1
Given Input Data is 223, 909, 60, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 223 is 223
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 501 is 3 x 167
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(223, 909) = 202707
GCD(223, 909) = ( 223 x 909 ) / 202707
GCD(223, 909) = 202707 / 202707
GCD(223, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 223, 909, 60, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 223, 909, 60, 501?
GCD of 223, 909, 60, 501 is 1
2. Where do I get the detailed procedure to find GCD of 223, 909, 60, 501?
You can find a detailed procedure to find GCD of 223, 909, 60, 501 on our page.
3. How to find GCD of 223, 909, 60, 501 on a calculator?
You can find the GCD of 223, 909, 60, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.