GCD of 153, 303, 579 Calculator

Given Input numbers are 153, 303, 579

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 579

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

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 153, 303, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 303, 579 is 3.

Therefore, GCD of numbers 153, 303, 579 is 3

Given Input Data is 153, 303, 579

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 303 is 3 x 101

Prime Factorization of 579 is 3 x 193

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(153, 303) = 15453

GCD(153, 303) = ( 153 x 303 ) / 15453

GCD(153, 303) = 46359 / 15453

GCD(153, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 579

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

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

GCD(3, 579) = 1737 / 579

GCD(3, 579) = 3

GCD of 153, 303, 579 is 3

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1. What is the GCD of 153, 303, 579?

GCD of 153, 303, 579 is 3

2. Where do I get the detailed procedure to find GCD of 153, 303, 579?

You can find a detailed procedure to find GCD of 153, 303, 579 on our page.

3. How to find GCD of 153, 303, 579 on a calculator?

You can find the GCD of 153, 303, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.