GCD of 297, 369, 893, 518 Calculator

Given Input numbers are 297, 369, 893, 518

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

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 297, 369, 893, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 369, 893, 518 is 1.

Therefore, GCD of numbers 297, 369, 893, 518 is 1

Given Input Data is 297, 369, 893, 518

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 893 is 19 x 47

Prime Factorization of 518 is 2 x 7 x 37

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(297, 369) = 12177

GCD(297, 369) = ( 297 x 369 ) / 12177

GCD(297, 369) = 109593 / 12177

GCD(297, 369) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 893

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

LCM(9, 893) = 8037

GCD(9, 893) = ( 9 x 893 ) / 8037

GCD(9, 893) = 8037 / 8037

GCD(9, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 297, 369, 893, 518 is 1

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1. What is the GCD of 297, 369, 893, 518?

GCD of 297, 369, 893, 518 is 1

2. Where do I get the detailed procedure to find GCD of 297, 369, 893, 518?

You can find a detailed procedure to find GCD of 297, 369, 893, 518 on our page.

3. How to find GCD of 297, 369, 893, 518 on a calculator?

You can find the GCD of 297, 369, 893, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.