GCD of 893, 729, 998, 302 Calculator

Given Input numbers are 893, 729, 998, 302

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

Divisors of 893

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

1, 19, 47, 893

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 893, 729, 998, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 729, 998, 302 is 1.

Therefore, GCD of numbers 893, 729, 998, 302 is 1

Given Input Data is 893, 729, 998, 302

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

Prime Factorization of 893 is 19 x 47

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 998 is 2 x 499

Prime Factorization of 302 is 2 x 151

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(893, 729) = 650997

GCD(893, 729) = ( 893 x 729 ) / 650997

GCD(893, 729) = 650997 / 650997

GCD(893, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 893, 729, 998, 302 is 1

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1. What is the GCD of 893, 729, 998, 302?

GCD of 893, 729, 998, 302 is 1

2. Where do I get the detailed procedure to find GCD of 893, 729, 998, 302?

You can find a detailed procedure to find GCD of 893, 729, 998, 302 on our page.

3. How to find GCD of 893, 729, 998, 302 on a calculator?

You can find the GCD of 893, 729, 998, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.