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 209, 669, 60, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 209, 669, 60, 501 is 1
GCD(209, 669, 60, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 209, 669, 60, 501 is 1
GCD(209, 669, 60, 501) = 1
Given Input numbers are 209, 669, 60, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
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 209, 669, 60, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 669, 60, 501 is 1.
Therefore, GCD of numbers 209, 669, 60, 501 is 1
Given Input Data is 209, 669, 60, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 209 is 11 x 19
Prime Factorization of 669 is 3 x 223
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(209, 669) = 139821
GCD(209, 669) = ( 209 x 669 ) / 139821
GCD(209, 669) = 139821 / 139821
GCD(209, 669) = 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 209, 669, 60, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 209, 669, 60, 501?
GCD of 209, 669, 60, 501 is 1
2. Where do I get the detailed procedure to find GCD of 209, 669, 60, 501?
You can find a detailed procedure to find GCD of 209, 669, 60, 501 on our page.
3. How to find GCD of 209, 669, 60, 501 on a calculator?
You can find the GCD of 209, 669, 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.