GCD of 903, 195, 429, 540 Calculator

Given Input numbers are 903, 195, 429, 540

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

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

Greatest Common Divisior

We found the divisors of 903, 195, 429, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 195, 429, 540 is 3.

Therefore, GCD of numbers 903, 195, 429, 540 is 3

Given Input Data is 903, 195, 429, 540

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 429 is 3 x 11 x 13

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

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(903, 195) = 58695

GCD(903, 195) = ( 903 x 195 ) / 58695

GCD(903, 195) = 176085 / 58695

GCD(903, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

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

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

GCD of 903, 195, 429, 540 is 3

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1. What is the GCD of 903, 195, 429, 540?

GCD of 903, 195, 429, 540 is 3

2. Where do I get the detailed procedure to find GCD of 903, 195, 429, 540?

You can find a detailed procedure to find GCD of 903, 195, 429, 540 on our page.

3. How to find GCD of 903, 195, 429, 540 on a calculator?

You can find the GCD of 903, 195, 429, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.