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, 508, 68, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 589, 508, 68, 862 is 1
GCD(589, 508, 68, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 589, 508, 68, 862 is 1
GCD(589, 508, 68, 862) = 1
Given Input numbers are 589, 508, 68, 862
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 589, 508, 68, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 508, 68, 862 is 1.
Therefore, GCD of numbers 589, 508, 68, 862 is 1
Given Input Data is 589, 508, 68, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 589 is 19 x 31
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 862 is 2 x 431
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(589, 508) = 299212
GCD(589, 508) = ( 589 x 508 ) / 299212
GCD(589, 508) = 299212 / 299212
GCD(589, 508) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 589, 508, 68, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 589, 508, 68, 862?
GCD of 589, 508, 68, 862 is 1
2. Where do I get the detailed procedure to find GCD of 589, 508, 68, 862?
You can find a detailed procedure to find GCD of 589, 508, 68, 862 on our page.
3. How to find GCD of 589, 508, 68, 862 on a calculator?
You can find the GCD of 589, 508, 68, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.