GCD of 663, 156, 299 Calculator

Given Input numbers are 663, 156, 299

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 663, 156, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 156, 299 is 13.

Therefore, GCD of numbers 663, 156, 299 is 13

Given Input Data is 663, 156, 299

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 299 is 13 x 23

Highest common occurrences in the given inputs are 13¹

Multiplying them we get the GCD as 13

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(663, 156) = 2652

GCD(663, 156) = ( 663 x 156 ) / 2652

GCD(663, 156) = 103428 / 2652

GCD(663, 156) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 299

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

LCM(39, 299) = 897

GCD(39, 299) = ( 39 x 299 ) / 897

GCD(39, 299) = 11661 / 897

GCD(39, 299) = 13

GCD of 663, 156, 299 is 13

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• GCD of 226, 428, 388
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1. What is the GCD of 663, 156, 299?

GCD of 663, 156, 299 is 13

2. Where do I get the detailed procedure to find GCD of 663, 156, 299?

You can find a detailed procedure to find GCD of 663, 156, 299 on our page.

3. How to find GCD of 663, 156, 299 on a calculator?

You can find the GCD of 663, 156, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.