GCD of 312, 347, 810, 813 Calculator

Given Input numbers are 312, 347, 810, 813

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 813

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

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 312, 347, 810, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 347, 810, 813 is 1.

Therefore, GCD of numbers 312, 347, 810, 813 is 1

Given Input Data is 312, 347, 810, 813

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 347 is 347

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 813 is 3 x 271

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(312, 347) = 108264

GCD(312, 347) = ( 312 x 347 ) / 108264

GCD(312, 347) = 108264 / 108264

GCD(312, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 312, 347, 810, 813 is 1

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1. What is the GCD of 312, 347, 810, 813?

GCD of 312, 347, 810, 813 is 1

2. Where do I get the detailed procedure to find GCD of 312, 347, 810, 813?

You can find a detailed procedure to find GCD of 312, 347, 810, 813 on our page.

3. How to find GCD of 312, 347, 810, 813 on a calculator?

You can find the GCD of 312, 347, 810, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.