GCD of 270, 231, 89, 698 Calculator

Given Input numbers are 270, 231, 89, 698

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 270, 231, 89, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 231, 89, 698 is 1.

Therefore, GCD of numbers 270, 231, 89, 698 is 1

Given Input Data is 270, 231, 89, 698

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 89 is 89

Prime Factorization of 698 is 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

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(270, 231) = 20790

GCD(270, 231) = ( 270 x 231 ) / 20790

GCD(270, 231) = 62370 / 20790

GCD(270, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 270, 231, 89, 698 is 1

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1. What is the GCD of 270, 231, 89, 698?

GCD of 270, 231, 89, 698 is 1

2. Where do I get the detailed procedure to find GCD of 270, 231, 89, 698?

You can find a detailed procedure to find GCD of 270, 231, 89, 698 on our page.

3. How to find GCD of 270, 231, 89, 698 on a calculator?

You can find the GCD of 270, 231, 89, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.