GCD of 810, 807, 456, 381 Calculator

Given Input numbers are 810, 807, 456, 381

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

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 810, 807, 456, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 807, 456, 381 is 3.

Therefore, GCD of numbers 810, 807, 456, 381 is 3

Given Input Data is 810, 807, 456, 381

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

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 381 is 3 x 127

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(810, 807) = 217890

GCD(810, 807) = ( 810 x 807 ) / 217890

GCD(810, 807) = 653670 / 217890

GCD(810, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 456

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

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

GCD(3, 456) = 1368 / 456

GCD(3, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

GCD of 810, 807, 456, 381 is 3

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• GCD of 512, 368, 186, 593
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1. What is the GCD of 810, 807, 456, 381?

GCD of 810, 807, 456, 381 is 3

2. Where do I get the detailed procedure to find GCD of 810, 807, 456, 381?

You can find a detailed procedure to find GCD of 810, 807, 456, 381 on our page.

3. How to find GCD of 810, 807, 456, 381 on a calculator?

You can find the GCD of 810, 807, 456, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.