GCD of 903, 813, 993, 801 Calculator

Given Input numbers are 903, 813, 993, 801

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

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 813

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

1, 3, 271, 813

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 903, 813, 993, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 903, 813, 993, 801 is 3.

Therefore, GCD of numbers 903, 813, 993, 801 is 3

Given Input Data is 903, 813, 993, 801

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 813 is 3 x 271

Prime Factorization of 993 is 3 x 331

Prime Factorization of 801 is 3 x 3 x 89

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(903, 813) = 244713

GCD(903, 813) = ( 903 x 813 ) / 244713

GCD(903, 813) = 734139 / 244713

GCD(903, 813) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 801

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

LCM(3, 801) = 801

GCD(3, 801) = ( 3 x 801 ) / 801

GCD(3, 801) = 2403 / 801

GCD(3, 801) = 3

GCD of 903, 813, 993, 801 is 3

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1. What is the GCD of 903, 813, 993, 801?

GCD of 903, 813, 993, 801 is 3

2. Where do I get the detailed procedure to find GCD of 903, 813, 993, 801?

You can find a detailed procedure to find GCD of 903, 813, 993, 801 on our page.

3. How to find GCD of 903, 813, 993, 801 on a calculator?

You can find the GCD of 903, 813, 993, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.