GCD of 332, 506, 664 Calculator

Given Input numbers are 332, 506, 664

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 332, 506, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 506, 664 is 2.

Therefore, GCD of numbers 332, 506, 664 is 2

Given Input Data is 332, 506, 664

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(332, 506) = 83996

GCD(332, 506) = ( 332 x 506 ) / 83996

GCD(332, 506) = 167992 / 83996

GCD(332, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 332, 506, 664 is 2

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1. What is the GCD of 332, 506, 664?

GCD of 332, 506, 664 is 2

2. Where do I get the detailed procedure to find GCD of 332, 506, 664?

You can find a detailed procedure to find GCD of 332, 506, 664 on our page.

3. How to find GCD of 332, 506, 664 on a calculator?

You can find the GCD of 332, 506, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.