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 599, 668, 21, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 668, 21, 291 is 1
GCD(599, 668, 21, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 668, 21, 291 is 1
GCD(599, 668, 21, 291) = 1
Given Input numbers are 599, 668, 21, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 599, 668, 21, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 668, 21, 291 is 1.
Therefore, GCD of numbers 599, 668, 21, 291 is 1
Given Input Data is 599, 668, 21, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 21 is 3 x 7
Prime Factorization of 291 is 3 x 97
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(599, 668) = 400132
GCD(599, 668) = ( 599 x 668 ) / 400132
GCD(599, 668) = 400132 / 400132
GCD(599, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 599, 668, 21, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 668, 21, 291?
GCD of 599, 668, 21, 291 is 1
2. Where do I get the detailed procedure to find GCD of 599, 668, 21, 291?
You can find a detailed procedure to find GCD of 599, 668, 21, 291 on our page.
3. How to find GCD of 599, 668, 21, 291 on a calculator?
You can find the GCD of 599, 668, 21, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.