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 594, 180, 93, 960 i.e. 3 largest integer that divides all the numbers equally.
GCD of 594, 180, 93, 960 is 3
GCD(594, 180, 93, 960) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 594, 180, 93, 960 is 3
GCD(594, 180, 93, 960) = 3
Given Input numbers are 594, 180, 93, 960
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 594, 180, 93, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 180, 93, 960 is 3.
Therefore, GCD of numbers 594, 180, 93, 960 is 3
Given Input Data is 594, 180, 93, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 93 is 3 x 31
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(594, 180) = 5940
GCD(594, 180) = ( 594 x 180 ) / 5940
GCD(594, 180) = 106920 / 5940
GCD(594, 180) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 93) = 558
GCD(18, 93) = ( 18 x 93 ) / 558
GCD(18, 93) = 1674 / 558
GCD(18, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
GCD(3, 960) = 2880 / 960
GCD(3, 960) = 3
GCD of 594, 180, 93, 960 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 594, 180, 93, 960?
GCD of 594, 180, 93, 960 is 3
2. Where do I get the detailed procedure to find GCD of 594, 180, 93, 960?
You can find a detailed procedure to find GCD of 594, 180, 93, 960 on our page.
3. How to find GCD of 594, 180, 93, 960 on a calculator?
You can find the GCD of 594, 180, 93, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.