GCD of 230, 698, 911, 954 Calculator

Given Input numbers are 230, 698, 911, 954

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 698

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

1, 2, 349, 698

Divisors of 911

List of positive integer divisors of 911 that divides 911 without a remainder.

1, 911

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 230, 698, 911, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 698, 911, 954 is 1.

Therefore, GCD of numbers 230, 698, 911, 954 is 1

Given Input Data is 230, 698, 911, 954

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 698 is 2 x 349

Prime Factorization of 911 is 911

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(230, 698) = 80270

GCD(230, 698) = ( 230 x 698 ) / 80270

GCD(230, 698) = 160540 / 80270

GCD(230, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 911

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

LCM(2, 911) = 1822

GCD(2, 911) = ( 2 x 911 ) / 1822

GCD(2, 911) = 1822 / 1822

GCD(2, 911) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 230, 698, 911, 954 is 1

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1. What is the GCD of 230, 698, 911, 954?

GCD of 230, 698, 911, 954 is 1

2. Where do I get the detailed procedure to find GCD of 230, 698, 911, 954?

You can find a detailed procedure to find GCD of 230, 698, 911, 954 on our page.

3. How to find GCD of 230, 698, 911, 954 on a calculator?

You can find the GCD of 230, 698, 911, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.