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, 146, 304, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 146, 304, 567 is 1
GCD(33, 146, 304, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 146, 304, 567 is 1
GCD(33, 146, 304, 567) = 1
Given Input numbers are 33, 146, 304, 567
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 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 33, 146, 304, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 146, 304, 567 is 1.
Therefore, GCD of numbers 33, 146, 304, 567 is 1
Given Input Data is 33, 146, 304, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 146 is 2 x 73
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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, 146) = 4818
GCD(33, 146) = ( 33 x 146 ) / 4818
GCD(33, 146) = 4818 / 4818
GCD(33, 146) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 33, 146, 304, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 146, 304, 567?
GCD of 33, 146, 304, 567 is 1
2. Where do I get the detailed procedure to find GCD of 33, 146, 304, 567?
You can find a detailed procedure to find GCD of 33, 146, 304, 567 on our page.
3. How to find GCD of 33, 146, 304, 567 on a calculator?
You can find the GCD of 33, 146, 304, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.