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 584, 666, 337, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 666, 337, 994 is 1
GCD(584, 666, 337, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 666, 337, 994 is 1
GCD(584, 666, 337, 994) = 1
Given Input numbers are 584, 666, 337, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 584, 666, 337, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 666, 337, 994 is 1.
Therefore, GCD of numbers 584, 666, 337, 994 is 1
Given Input Data is 584, 666, 337, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 337 is 337
Prime Factorization of 994 is 2 x 7 x 71
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(584, 666) = 194472
GCD(584, 666) = ( 584 x 666 ) / 194472
GCD(584, 666) = 388944 / 194472
GCD(584, 666) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 337) = 674
GCD(2, 337) = ( 2 x 337 ) / 674
GCD(2, 337) = 674 / 674
GCD(2, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 584, 666, 337, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 666, 337, 994?
GCD of 584, 666, 337, 994 is 1
2. Where do I get the detailed procedure to find GCD of 584, 666, 337, 994?
You can find a detailed procedure to find GCD of 584, 666, 337, 994 on our page.
3. How to find GCD of 584, 666, 337, 994 on a calculator?
You can find the GCD of 584, 666, 337, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.