GCD of 291, 297, 563, 448 Calculator

Given Input numbers are 291, 297, 563, 448

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 291, 297, 563, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 297, 563, 448 is 1.

Therefore, GCD of numbers 291, 297, 563, 448 is 1

Given Input Data is 291, 297, 563, 448

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 563 is 563

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(291, 297) = 28809

GCD(291, 297) = ( 291 x 297 ) / 28809

GCD(291, 297) = 86427 / 28809

GCD(291, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 563

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

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

GCD(3, 563) = 1689 / 1689

GCD(3, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 291, 297, 563, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 307, 735, 479
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• GCD of 632, 685, 429, 176

1. What is the GCD of 291, 297, 563, 448?

GCD of 291, 297, 563, 448 is 1

2. Where do I get the detailed procedure to find GCD of 291, 297, 563, 448?

You can find a detailed procedure to find GCD of 291, 297, 563, 448 on our page.

3. How to find GCD of 291, 297, 563, 448 on a calculator?

You can find the GCD of 291, 297, 563, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.