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 681, 225, 543 i.e. 3 largest integer that divides all the numbers equally.
GCD of 681, 225, 543 is 3
GCD(681, 225, 543) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 681, 225, 543 is 3
GCD(681, 225, 543) = 3
Given Input numbers are 681, 225, 543
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Greatest Common Divisior
We found the divisors of 681, 225, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 225, 543 is 3.
Therefore, GCD of numbers 681, 225, 543 is 3
Given Input Data is 681, 225, 543
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 681 is 3 x 227
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 543 is 3 x 181
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(681, 225) = 51075
GCD(681, 225) = ( 681 x 225 ) / 51075
GCD(681, 225) = 153225 / 51075
GCD(681, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 543
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 543) = 543
GCD(3, 543) = ( 3 x 543 ) / 543
GCD(3, 543) = 1629 / 543
GCD(3, 543) = 3
GCD of 681, 225, 543 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 681, 225, 543?
GCD of 681, 225, 543 is 3
2. Where do I get the detailed procedure to find GCD of 681, 225, 543?
You can find a detailed procedure to find GCD of 681, 225, 543 on our page.
3. How to find GCD of 681, 225, 543 on a calculator?
You can find the GCD of 681, 225, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.