GCD of 285, 621, 54 Calculator

Given Input numbers are 285, 621, 54

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Greatest Common Divisior

We found the divisors of 285, 621, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 621, 54 is 3.

Therefore, GCD of numbers 285, 621, 54 is 3

Given Input Data is 285, 621, 54

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(285, 621) = 58995

GCD(285, 621) = ( 285 x 621 ) / 58995

GCD(285, 621) = 176985 / 58995

GCD(285, 621) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

GCD of 285, 621, 54 is 3

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1. What is the GCD of 285, 621, 54?

GCD of 285, 621, 54 is 3

2. Where do I get the detailed procedure to find GCD of 285, 621, 54?

You can find a detailed procedure to find GCD of 285, 621, 54 on our page.

3. How to find GCD of 285, 621, 54 on a calculator?

You can find the GCD of 285, 621, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.