GCD of 289, 513, 51, 291 Calculator

Given Input numbers are 289, 513, 51, 291

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

Divisors of 289

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

1, 17, 289

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 291

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

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 289, 513, 51, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 513, 51, 291 is 1.

Therefore, GCD of numbers 289, 513, 51, 291 is 1

Given Input Data is 289, 513, 51, 291

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 291 is 3 x 97

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(289, 513) = 148257

GCD(289, 513) = ( 289 x 513 ) / 148257

GCD(289, 513) = 148257 / 148257

GCD(289, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

GCD of 289, 513, 51, 291 is 1

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1. What is the GCD of 289, 513, 51, 291?

GCD of 289, 513, 51, 291 is 1

2. Where do I get the detailed procedure to find GCD of 289, 513, 51, 291?

You can find a detailed procedure to find GCD of 289, 513, 51, 291 on our page.

3. How to find GCD of 289, 513, 51, 291 on a calculator?

You can find the GCD of 289, 513, 51, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.