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 138, 540, 999, 801 i.e. 3 largest integer that divides all the numbers equally.
GCD of 138, 540, 999, 801 is 3
GCD(138, 540, 999, 801) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 540, 999, 801 is 3
GCD(138, 540, 999, 801) = 3
Given Input numbers are 138, 540, 999, 801
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
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 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 138, 540, 999, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 540, 999, 801 is 3.
Therefore, GCD of numbers 138, 540, 999, 801 is 3
Given Input Data is 138, 540, 999, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 801 is 3 x 3 x 89
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(138, 540) = 12420
GCD(138, 540) = ( 138 x 540 ) / 12420
GCD(138, 540) = 74520 / 12420
GCD(138, 540) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 999) = 1998
GCD(6, 999) = ( 6 x 999 ) / 1998
GCD(6, 999) = 5994 / 1998
GCD(6, 999) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
GCD(3, 801) = 2403 / 801
GCD(3, 801) = 3
GCD of 138, 540, 999, 801 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 540, 999, 801?
GCD of 138, 540, 999, 801 is 3
2. Where do I get the detailed procedure to find GCD of 138, 540, 999, 801?
You can find a detailed procedure to find GCD of 138, 540, 999, 801 on our page.
3. How to find GCD of 138, 540, 999, 801 on a calculator?
You can find the GCD of 138, 540, 999, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.