GCD of 813, 315, 423, 750 Calculator

Given Input numbers are 813, 315, 423, 750

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 813, 315, 423, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 315, 423, 750 is 3.

Therefore, GCD of numbers 813, 315, 423, 750 is 3

Given Input Data is 813, 315, 423, 750

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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, 315) = 85365

GCD(813, 315) = ( 813 x 315 ) / 85365

GCD(813, 315) = 256095 / 85365

GCD(813, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

GCD of 813, 315, 423, 750 is 3

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1. What is the GCD of 813, 315, 423, 750?

GCD of 813, 315, 423, 750 is 3

2. Where do I get the detailed procedure to find GCD of 813, 315, 423, 750?

You can find a detailed procedure to find GCD of 813, 315, 423, 750 on our page.

3. How to find GCD of 813, 315, 423, 750 on a calculator?

You can find the GCD of 813, 315, 423, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.