GCD of 260, 224, 629, 304 Calculator

Given Input numbers are 260, 224, 629, 304

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 260, 224, 629, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 224, 629, 304 is 1.

Therefore, GCD of numbers 260, 224, 629, 304 is 1

Given Input Data is 260, 224, 629, 304

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 629 is 17 x 37

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(260, 224) = 14560

GCD(260, 224) = ( 260 x 224 ) / 14560

GCD(260, 224) = 58240 / 14560

GCD(260, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 260, 224, 629, 304 is 1

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1. What is the GCD of 260, 224, 629, 304?

GCD of 260, 224, 629, 304 is 1

2. Where do I get the detailed procedure to find GCD of 260, 224, 629, 304?

You can find a detailed procedure to find GCD of 260, 224, 629, 304 on our page.

3. How to find GCD of 260, 224, 629, 304 on a calculator?

You can find the GCD of 260, 224, 629, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.