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 285, 350, 11, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 350, 11, 599 is 1
GCD(285, 350, 11, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 350, 11, 599 is 1
GCD(285, 350, 11, 599) = 1
Given Input numbers are 285, 350, 11, 599
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 285, 350, 11, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 350, 11, 599 is 1.
Therefore, GCD of numbers 285, 350, 11, 599 is 1
Given Input Data is 285, 350, 11, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 11 is 11
Prime Factorization of 599 is 599
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(285, 350) = 19950
GCD(285, 350) = ( 285 x 350 ) / 19950
GCD(285, 350) = 99750 / 19950
GCD(285, 350) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 11) = 55
GCD(5, 11) = ( 5 x 11 ) / 55
GCD(5, 11) = 55 / 55
GCD(5, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 599) = 599
GCD(1, 599) = ( 1 x 599 ) / 599
GCD(1, 599) = 599 / 599
GCD(1, 599) = 1
GCD of 285, 350, 11, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 285, 350, 11, 599?
GCD of 285, 350, 11, 599 is 1
2. Where do I get the detailed procedure to find GCD of 285, 350, 11, 599?
You can find a detailed procedure to find GCD of 285, 350, 11, 599 on our page.
3. How to find GCD of 285, 350, 11, 599 on a calculator?
You can find the GCD of 285, 350, 11, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.