GCD of 813, 257, 24, 743 Calculator

Given Input numbers are 813, 257, 24, 743

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 813, 257, 24, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 257, 24, 743 is 1.

Therefore, GCD of numbers 813, 257, 24, 743 is 1

Given Input Data is 813, 257, 24, 743

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 257 is 257

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 743 is 743

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(813, 257) = 208941

GCD(813, 257) = ( 813 x 257 ) / 208941

GCD(813, 257) = 208941 / 208941

GCD(813, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 813, 257, 24, 743 is 1

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• GCD of 442, 374, 48, 527
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1. What is the GCD of 813, 257, 24, 743?

GCD of 813, 257, 24, 743 is 1

2. Where do I get the detailed procedure to find GCD of 813, 257, 24, 743?

You can find a detailed procedure to find GCD of 813, 257, 24, 743 on our page.

3. How to find GCD of 813, 257, 24, 743 on a calculator?

You can find the GCD of 813, 257, 24, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.