GCD of 498, 261, 664 Calculator

Given Input numbers are 498, 261, 664

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 498, 261, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 261, 664 is 1.

Therefore, GCD of numbers 498, 261, 664 is 1

Given Input Data is 498, 261, 664

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 261 is 3 x 3 x 29

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

The above numbers do not have any common prime factor. So GCD is 1

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(498, 261) = 43326

GCD(498, 261) = ( 498 x 261 ) / 43326

GCD(498, 261) = 129978 / 43326

GCD(498, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 664

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

LCM(3, 664) = 1992

GCD(3, 664) = ( 3 x 664 ) / 1992

GCD(3, 664) = 1992 / 1992

GCD(3, 664) = 1

GCD of 498, 261, 664 is 1

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1. What is the GCD of 498, 261, 664?

GCD of 498, 261, 664 is 1

2. Where do I get the detailed procedure to find GCD of 498, 261, 664?

You can find a detailed procedure to find GCD of 498, 261, 664 on our page.

3. How to find GCD of 498, 261, 664 on a calculator?

You can find the GCD of 498, 261, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.