GCD of 540, 375, 828, 483 Calculator

Given Input numbers are 540, 375, 828, 483

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Greatest Common Divisior

We found the divisors of 540, 375, 828, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 375, 828, 483 is 3.

Therefore, GCD of numbers 540, 375, 828, 483 is 3

Given Input Data is 540, 375, 828, 483

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 483 is 3 x 7 x 23

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, 375) = 13500

GCD(540, 375) = ( 540 x 375 ) / 13500

GCD(540, 375) = 202500 / 13500

GCD(540, 375) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 828

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

LCM(15, 828) = 4140

GCD(15, 828) = ( 15 x 828 ) / 4140

GCD(15, 828) = 12420 / 4140

GCD(15, 828) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 483

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

LCM(3, 483) = 483

GCD(3, 483) = ( 3 x 483 ) / 483

GCD(3, 483) = 1449 / 483

GCD(3, 483) = 3

GCD of 540, 375, 828, 483 is 3

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1. What is the GCD of 540, 375, 828, 483?

GCD of 540, 375, 828, 483 is 3

2. Where do I get the detailed procedure to find GCD of 540, 375, 828, 483?

You can find a detailed procedure to find GCD of 540, 375, 828, 483 on our page.

3. How to find GCD of 540, 375, 828, 483 on a calculator?

You can find the GCD of 540, 375, 828, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.