GCD of 589, 667, 66 Calculator
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 589, 667, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 667, 66 is 1
GCD(589, 667, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 667, 66 is 1
GCD(589, 667, 66) = 1
GCDof 589,667,66 is 1
Given Input numbers are 589, 667, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 589, 667, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 667, 66 is 1.
Therefore, GCD of numbers 589, 667, 66 is 1
Given Input Data is 589, 667, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 667 is 23 x 29
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 589, 667, 66 using LCM Formula
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(589, 667) = 392863
GCD(589, 667) = ( 589 x 667 ) / 392863
GCD(589, 667) = 392863 / 392863
GCD(589, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 589, 667, 66 is 1
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FAQs on GCD of numbers 589, 667, 66
1. What is the GCD of 589, 667, 66?
GCD of 589, 667, 66 is 1
2. Where do I get the detailed procedure to find GCD of 589, 667, 66?
You can find a detailed procedure to find GCD of 589, 667, 66 on our page.
3. How to find GCD of 589, 667, 66 on a calculator?
You can find the GCD of 589, 667, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
