GCD of 540, 369, 699 Calculator
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 540, 369, 699 i.e. 3 largest integer that divides all the numbers equally.
GCD of 540, 369, 699 is 3
GCD(540, 369, 699) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 369, 699 is 3
GCD(540, 369, 699) = 3
GCDof 540,369,699 is 3
Given Input numbers are 540, 369, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 540, 369, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 369, 699 is 3.
Therefore, GCD of numbers 540, 369, 699 is 3
Given Input Data is 540, 369, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 699 is 3 x 233
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 540, 369, 699 using LCM Formula
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(540, 369) = 22140
GCD(540, 369) = ( 540 x 369 ) / 22140
GCD(540, 369) = 199260 / 22140
GCD(540, 369) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 699) = 2097
GCD(9, 699) = ( 9 x 699 ) / 2097
GCD(9, 699) = 6291 / 2097
GCD(9, 699) = 3
GCD of 540, 369, 699 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 540, 369, 699
1. What is the GCD of 540, 369, 699?
GCD of 540, 369, 699 is 3
2. Where do I get the detailed procedure to find GCD of 540, 369, 699?
You can find a detailed procedure to find GCD of 540, 369, 699 on our page.
3. How to find GCD of 540, 369, 699 on a calculator?
You can find the GCD of 540, 369, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.