GCD of 264, 663, 829, 358 Calculator

Given Input numbers are 264, 663, 829, 358

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 264, 663, 829, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 663, 829, 358 is 1.

Therefore, GCD of numbers 264, 663, 829, 358 is 1

Given Input Data is 264, 663, 829, 358

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 829 is 829

Prime Factorization of 358 is 2 x 179

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(264, 663) = 58344

GCD(264, 663) = ( 264 x 663 ) / 58344

GCD(264, 663) = 175032 / 58344

GCD(264, 663) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 829

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

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

GCD(3, 829) = 2487 / 2487

GCD(3, 829) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 264, 663, 829, 358 is 1

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• GCD of 223, 702, 718, 985
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1. What is the GCD of 264, 663, 829, 358?

GCD of 264, 663, 829, 358 is 1

2. Where do I get the detailed procedure to find GCD of 264, 663, 829, 358?

You can find a detailed procedure to find GCD of 264, 663, 829, 358 on our page.

3. How to find GCD of 264, 663, 829, 358 on a calculator?

You can find the GCD of 264, 663, 829, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.