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 684, 720, 483 i.e. 3 largest integer that divides all the numbers equally.
GCD of 684, 720, 483 is 3
GCD(684, 720, 483) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 684, 720, 483 is 3
GCD(684, 720, 483) = 3
Given Input numbers are 684, 720, 483
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 684, 720, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 720, 483 is 3.
Therefore, GCD of numbers 684, 720, 483 is 3
Given Input Data is 684, 720, 483
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 483 is 3 x 7 x 23
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(684, 720) = 13680
GCD(684, 720) = ( 684 x 720 ) / 13680
GCD(684, 720) = 492480 / 13680
GCD(684, 720) = 36
Step2:
Here we consider the GCD from the above i.e. 36 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(36, 483) = 5796
GCD(36, 483) = ( 36 x 483 ) / 5796
GCD(36, 483) = 17388 / 5796
GCD(36, 483) = 3
GCD of 684, 720, 483 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 684, 720, 483?
GCD of 684, 720, 483 is 3
2. Where do I get the detailed procedure to find GCD of 684, 720, 483?
You can find a detailed procedure to find GCD of 684, 720, 483 on our page.
3. How to find GCD of 684, 720, 483 on a calculator?
You can find the GCD of 684, 720, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.