GCD of 123, 540, 84 Calculator

Given Input numbers are 123, 540, 84

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 123, 540, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 540, 84 is 3.

Therefore, GCD of numbers 123, 540, 84 is 3

Given Input Data is 123, 540, 84

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 123 is 3 x 41

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(123, 540) = 22140

GCD(123, 540) = ( 123 x 540 ) / 22140

GCD(123, 540) = 66420 / 22140

GCD(123, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

GCD of 123, 540, 84 is 3

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• GCD of 655, 133, 85
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1. What is the GCD of 123, 540, 84?

GCD of 123, 540, 84 is 3

2. Where do I get the detailed procedure to find GCD of 123, 540, 84?

You can find a detailed procedure to find GCD of 123, 540, 84 on our page.

3. How to find GCD of 123, 540, 84 on a calculator?

You can find the GCD of 123, 540, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.