GCD of 810, 898, 24, 786 Calculator

Given Input numbers are 810, 898, 24, 786

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 810, 898, 24, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 898, 24, 786 is 2.

Therefore, GCD of numbers 810, 898, 24, 786 is 2

Given Input Data is 810, 898, 24, 786

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 898 is 2 x 449

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 898) = 363690

GCD(810, 898) = ( 810 x 898 ) / 363690

GCD(810, 898) = 727380 / 363690

GCD(810, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

GCD of 810, 898, 24, 786 is 2

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1. What is the GCD of 810, 898, 24, 786?

GCD of 810, 898, 24, 786 is 2

2. Where do I get the detailed procedure to find GCD of 810, 898, 24, 786?

You can find a detailed procedure to find GCD of 810, 898, 24, 786 on our page.

3. How to find GCD of 810, 898, 24, 786 on a calculator?

You can find the GCD of 810, 898, 24, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.