GCD of 262, 288, 569 Calculator

Given Input numbers are 262, 288, 569

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 262, 288, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 288, 569 is 1.

Therefore, GCD of numbers 262, 288, 569 is 1

Given Input Data is 262, 288, 569

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 569 is 569

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(262, 288) = 37728

GCD(262, 288) = ( 262 x 288 ) / 37728

GCD(262, 288) = 75456 / 37728

GCD(262, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

GCD of 262, 288, 569 is 1

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1. What is the GCD of 262, 288, 569?

GCD of 262, 288, 569 is 1

2. Where do I get the detailed procedure to find GCD of 262, 288, 569?

You can find a detailed procedure to find GCD of 262, 288, 569 on our page.

3. How to find GCD of 262, 288, 569 on a calculator?

You can find the GCD of 262, 288, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.