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 564, 480, 950, 333 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 480, 950, 333 is 1
GCD(564, 480, 950, 333) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 480, 950, 333 is 1
GCD(564, 480, 950, 333) = 1
Given Input numbers are 564, 480, 950, 333
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Greatest Common Divisior
We found the divisors of 564, 480, 950, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 480, 950, 333 is 1.
Therefore, GCD of numbers 564, 480, 950, 333 is 1
Given Input Data is 564, 480, 950, 333
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 333 is 3 x 3 x 37
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(564, 480) = 22560
GCD(564, 480) = ( 564 x 480 ) / 22560
GCD(564, 480) = 270720 / 22560
GCD(564, 480) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 950) = 5700
GCD(12, 950) = ( 12 x 950 ) / 5700
GCD(12, 950) = 11400 / 5700
GCD(12, 950) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 333) = 666
GCD(2, 333) = ( 2 x 333 ) / 666
GCD(2, 333) = 666 / 666
GCD(2, 333) = 1
GCD of 564, 480, 950, 333 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 480, 950, 333?
GCD of 564, 480, 950, 333 is 1
2. Where do I get the detailed procedure to find GCD of 564, 480, 950, 333?
You can find a detailed procedure to find GCD of 564, 480, 950, 333 on our page.
3. How to find GCD of 564, 480, 950, 333 on a calculator?
You can find the GCD of 564, 480, 950, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.