GCD of 280, 385, 810 Calculator

Given Input numbers are 280, 385, 810

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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

Greatest Common Divisior

We found the divisors of 280, 385, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 385, 810 is 5.

Therefore, GCD of numbers 280, 385, 810 is 5

Given Input Data is 280, 385, 810

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 385 is 5 x 7 x 11

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

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(280, 385) = 3080

GCD(280, 385) = ( 280 x 385 ) / 3080

GCD(280, 385) = 107800 / 3080

GCD(280, 385) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 810

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

LCM(35, 810) = 5670

GCD(35, 810) = ( 35 x 810 ) / 5670

GCD(35, 810) = 28350 / 5670

GCD(35, 810) = 5

GCD of 280, 385, 810 is 5

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1. What is the GCD of 280, 385, 810?

GCD of 280, 385, 810 is 5

2. Where do I get the detailed procedure to find GCD of 280, 385, 810?

You can find a detailed procedure to find GCD of 280, 385, 810 on our page.

3. How to find GCD of 280, 385, 810 on a calculator?

You can find the GCD of 280, 385, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.