GCD of 579, 273, 102 Calculator

Given Input numbers are 579, 273, 102

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 579, 273, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 273, 102 is 3.

Therefore, GCD of numbers 579, 273, 102 is 3

Given Input Data is 579, 273, 102

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 102 is 2 x 3 x 17

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(579, 273) = 52689

GCD(579, 273) = ( 579 x 273 ) / 52689

GCD(579, 273) = 158067 / 52689

GCD(579, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 102

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

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

GCD(3, 102) = 306 / 102

GCD(3, 102) = 3

GCD of 579, 273, 102 is 3

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1. What is the GCD of 579, 273, 102?

GCD of 579, 273, 102 is 3

2. Where do I get the detailed procedure to find GCD of 579, 273, 102?

You can find a detailed procedure to find GCD of 579, 273, 102 on our page.

3. How to find GCD of 579, 273, 102 on a calculator?

You can find the GCD of 579, 273, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.