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 858, 535, 109, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 858, 535, 109, 589 is 1
GCD(858, 535, 109, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 858, 535, 109, 589 is 1
GCD(858, 535, 109, 589) = 1
Given Input numbers are 858, 535, 109, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
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 858, 535, 109, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 535, 109, 589 is 1.
Therefore, GCD of numbers 858, 535, 109, 589 is 1
Given Input Data is 858, 535, 109, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 535 is 5 x 107
Prime Factorization of 109 is 109
Prime Factorization of 589 is 19 x 31
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(858, 535) = 459030
GCD(858, 535) = ( 858 x 535 ) / 459030
GCD(858, 535) = 459030 / 459030
GCD(858, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 858, 535, 109, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 858, 535, 109, 589?
GCD of 858, 535, 109, 589 is 1
2. Where do I get the detailed procedure to find GCD of 858, 535, 109, 589?
You can find a detailed procedure to find GCD of 858, 535, 109, 589 on our page.
3. How to find GCD of 858, 535, 109, 589 on a calculator?
You can find the GCD of 858, 535, 109, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.