GCD of 168, 254, 589 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 168, 254, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 254, 589 is 1
GCD(168, 254, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 254, 589 is 1
GCD(168, 254, 589) = 1
GCDof 168,254,589 is 1
Given Input numbers are 168, 254, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 168, 254, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 254, 589 is 1.
Therefore, GCD of numbers 168, 254, 589 is 1
Given Input Data is 168, 254, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 254 is 2 x 127
Prime Factorization of 589 is 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 168, 254, 589 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(168, 254) = 21336
GCD(168, 254) = ( 168 x 254 ) / 21336
GCD(168, 254) = 42672 / 21336
GCD(168, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
GCD(2, 589) = 1178 / 1178
GCD(2, 589) = 1
GCD of 168, 254, 589 is 1
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FAQs on GCD of numbers 168, 254, 589
1. What is the GCD of 168, 254, 589?
GCD of 168, 254, 589 is 1
2. Where do I get the detailed procedure to find GCD of 168, 254, 589?
You can find a detailed procedure to find GCD of 168, 254, 589 on our page.
3. How to find GCD of 168, 254, 589 on a calculator?
You can find the GCD of 168, 254, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.