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 10, 595, 159, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 595, 159, 285 is 1
GCD(10, 595, 159, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 595, 159, 285 is 1
GCD(10, 595, 159, 285) = 1
Given Input numbers are 10, 595, 159, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Greatest Common Divisior
We found the divisors of 10, 595, 159, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 595, 159, 285 is 1.
Therefore, GCD of numbers 10, 595, 159, 285 is 1
Given Input Data is 10, 595, 159, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 159 is 3 x 53
Prime Factorization of 285 is 3 x 5 x 19
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(10, 595) = 1190
GCD(10, 595) = ( 10 x 595 ) / 1190
GCD(10, 595) = 5950 / 1190
GCD(10, 595) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 159) = 795
GCD(5, 159) = ( 5 x 159 ) / 795
GCD(5, 159) = 795 / 795
GCD(5, 159) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
GCD of 10, 595, 159, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 595, 159, 285?
GCD of 10, 595, 159, 285 is 1
2. Where do I get the detailed procedure to find GCD of 10, 595, 159, 285?
You can find a detailed procedure to find GCD of 10, 595, 159, 285 on our page.
3. How to find GCD of 10, 595, 159, 285 on a calculator?
You can find the GCD of 10, 595, 159, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.