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 600, 895, 24, 285 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 895, 24, 285 is 1
GCD(600, 895, 24, 285) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 895, 24, 285 is 1
GCD(600, 895, 24, 285) = 1
Given Input numbers are 600, 895, 24, 285
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
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 600, 895, 24, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 895, 24, 285 is 1.
Therefore, GCD of numbers 600, 895, 24, 285 is 1
Given Input Data is 600, 895, 24, 285
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 895 is 5 x 179
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(600, 895) = 107400
GCD(600, 895) = ( 600 x 895 ) / 107400
GCD(600, 895) = 537000 / 107400
GCD(600, 895) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 24) = 120
GCD(5, 24) = ( 5 x 24 ) / 120
GCD(5, 24) = 120 / 120
GCD(5, 24) = 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 600, 895, 24, 285 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 895, 24, 285?
GCD of 600, 895, 24, 285 is 1
2. Where do I get the detailed procedure to find GCD of 600, 895, 24, 285?
You can find a detailed procedure to find GCD of 600, 895, 24, 285 on our page.
3. How to find GCD of 600, 895, 24, 285 on a calculator?
You can find the GCD of 600, 895, 24, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.