GCD of 138, 540, 999, 801 Calculator

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

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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.