GCD of 698, 274, 810 Calculator

Given Input numbers are 698, 274, 810

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 698, 274, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 274, 810 is 2.

Therefore, GCD of numbers 698, 274, 810 is 2

Given Input Data is 698, 274, 810

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 274 is 2 x 137

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

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(698, 274) = 95626

GCD(698, 274) = ( 698 x 274 ) / 95626

GCD(698, 274) = 191252 / 95626

GCD(698, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 810

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

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

GCD(2, 810) = 1620 / 810

GCD(2, 810) = 2

GCD of 698, 274, 810 is 2

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1. What is the GCD of 698, 274, 810?

GCD of 698, 274, 810 is 2

2. Where do I get the detailed procedure to find GCD of 698, 274, 810?

You can find a detailed procedure to find GCD of 698, 274, 810 on our page.

3. How to find GCD of 698, 274, 810 on a calculator?

You can find the GCD of 698, 274, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.