GCD of 40, 513, 559, 291 Calculator

Given Input numbers are 40, 513, 559, 291

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 40, 513, 559, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 513, 559, 291 is 1.

Therefore, GCD of numbers 40, 513, 559, 291 is 1

Given Input Data is 40, 513, 559, 291

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 559 is 13 x 43

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(40, 513) = 20520

GCD(40, 513) = ( 40 x 513 ) / 20520

GCD(40, 513) = 20520 / 20520

GCD(40, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 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 40, 513, 559, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 695, 891, 264
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• GCD of 48, 541, 620, 318
• GCD of 33, 969, 316, 683
• GCD of 52, 939, 484, 249

1. What is the GCD of 40, 513, 559, 291?

GCD of 40, 513, 559, 291 is 1

2. Where do I get the detailed procedure to find GCD of 40, 513, 559, 291?

You can find a detailed procedure to find GCD of 40, 513, 559, 291 on our page.

3. How to find GCD of 40, 513, 559, 291 on a calculator?

You can find the GCD of 40, 513, 559, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.