GCD of 813, 465, 906 Calculator

Given Input numbers are 813, 465, 906

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 813, 465, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 465, 906 is 3.

Therefore, GCD of numbers 813, 465, 906 is 3

Given Input Data is 813, 465, 906

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 906 is 2 x 3 x 151

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(813, 465) = 126015

GCD(813, 465) = ( 813 x 465 ) / 126015

GCD(813, 465) = 378045 / 126015

GCD(813, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 906

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

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

GCD(3, 906) = 2718 / 906

GCD(3, 906) = 3

GCD of 813, 465, 906 is 3

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1. What is the GCD of 813, 465, 906?

GCD of 813, 465, 906 is 3

2. Where do I get the detailed procedure to find GCD of 813, 465, 906?

You can find a detailed procedure to find GCD of 813, 465, 906 on our page.

3. How to find GCD of 813, 465, 906 on a calculator?

You can find the GCD of 813, 465, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.