GCD of 40, 297, 404, 513 Calculator

Given Input numbers are 40, 297, 404, 513

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 297

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

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 40, 297, 404, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 297, 404, 513 is 1.

Therefore, GCD of numbers 40, 297, 404, 513 is 1

Given Input Data is 40, 297, 404, 513

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 404 is 2 x 2 x 101

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

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, 297) = 11880

GCD(40, 297) = ( 40 x 297 ) / 11880

GCD(40, 297) = 11880 / 11880

GCD(40, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 40, 297, 404, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 928, 157, 841
• GCD of 90, 366, 319, 660
• GCD of 24, 131, 717, 447
• GCD of 63, 569, 639, 967
• GCD of 18, 942, 130, 671

1. What is the GCD of 40, 297, 404, 513?

GCD of 40, 297, 404, 513 is 1

2. Where do I get the detailed procedure to find GCD of 40, 297, 404, 513?

You can find a detailed procedure to find GCD of 40, 297, 404, 513 on our page.

3. How to find GCD of 40, 297, 404, 513 on a calculator?

You can find the GCD of 40, 297, 404, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.