GCD of 821, 299, 299, 743 Calculator

Given Input numbers are 821, 299, 299, 743

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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 821, 299, 299, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 299, 299, 743 is 1.

Therefore, GCD of numbers 821, 299, 299, 743 is 1

Given Input Data is 821, 299, 299, 743

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

Prime Factorization of 821 is 821

Prime Factorization of 299 is 13 x 23

Prime Factorization of 299 is 13 x 23

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(821, 299) = 245479

GCD(821, 299) = ( 821 x 299 ) / 245479

GCD(821, 299) = 245479 / 245479

GCD(821, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 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 821, 299, 299, 743 is 1

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1. What is the GCD of 821, 299, 299, 743?

GCD of 821, 299, 299, 743 is 1

2. Where do I get the detailed procedure to find GCD of 821, 299, 299, 743?

You can find a detailed procedure to find GCD of 821, 299, 299, 743 on our page.

3. How to find GCD of 821, 299, 299, 743 on a calculator?

You can find the GCD of 821, 299, 299, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.