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 33, 600, 899, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 600, 899, 320 is 1
GCD(33, 600, 899, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 600, 899, 320 is 1
GCD(33, 600, 899, 320) = 1
Given Input numbers are 33, 600, 899, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
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 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 33, 600, 899, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 600, 899, 320 is 1.
Therefore, GCD of numbers 33, 600, 899, 320 is 1
Given Input Data is 33, 600, 899, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 899 is 29 x 31
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(33, 600) = 6600
GCD(33, 600) = ( 33 x 600 ) / 6600
GCD(33, 600) = 19800 / 6600
GCD(33, 600) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 899) = 2697
GCD(3, 899) = ( 3 x 899 ) / 2697
GCD(3, 899) = 2697 / 2697
GCD(3, 899) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 33, 600, 899, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 600, 899, 320?
GCD of 33, 600, 899, 320 is 1
2. Where do I get the detailed procedure to find GCD of 33, 600, 899, 320?
You can find a detailed procedure to find GCD of 33, 600, 899, 320 on our page.
3. How to find GCD of 33, 600, 899, 320 on a calculator?
You can find the GCD of 33, 600, 899, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.