GCD of 262, 528, 808, 289 Calculator

Given Input numbers are 262, 528, 808, 289

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 262, 528, 808, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 528, 808, 289 is 1.

Therefore, GCD of numbers 262, 528, 808, 289 is 1

Given Input Data is 262, 528, 808, 289

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 289 is 17 x 17

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, 528) = 69168

GCD(262, 528) = ( 262 x 528 ) / 69168

GCD(262, 528) = 138336 / 69168

GCD(262, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 262, 528, 808, 289 is 1

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1. What is the GCD of 262, 528, 808, 289?

GCD of 262, 528, 808, 289 is 1

2. Where do I get the detailed procedure to find GCD of 262, 528, 808, 289?

You can find a detailed procedure to find GCD of 262, 528, 808, 289 on our page.

3. How to find GCD of 262, 528, 808, 289 on a calculator?

You can find the GCD of 262, 528, 808, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.