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, 642, 99, 996 i.e. 3 largest integer that divides all the numbers equally.
GCD of 540, 642, 99, 996 is 3
GCD(540, 642, 99, 996) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 642, 99, 996 is 3
GCD(540, 642, 99, 996) = 3
Given Input numbers are 540, 642, 99, 996
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 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 540, 642, 99, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 642, 99, 996 is 3.
Therefore, GCD of numbers 540, 642, 99, 996 is 3
Given Input Data is 540, 642, 99, 996
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 642 is 2 x 3 x 107
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(540, 642) = 57780
GCD(540, 642) = ( 540 x 642 ) / 57780
GCD(540, 642) = 346680 / 57780
GCD(540, 642) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 99) = 198
GCD(6, 99) = ( 6 x 99 ) / 198
GCD(6, 99) = 594 / 198
GCD(6, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 996) = 996
GCD(3, 996) = ( 3 x 996 ) / 996
GCD(3, 996) = 2988 / 996
GCD(3, 996) = 3
GCD of 540, 642, 99, 996 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 642, 99, 996?
GCD of 540, 642, 99, 996 is 3
2. Where do I get the detailed procedure to find GCD of 540, 642, 99, 996?
You can find a detailed procedure to find GCD of 540, 642, 99, 996 on our page.
3. How to find GCD of 540, 642, 99, 996 on a calculator?
You can find the GCD of 540, 642, 99, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.