GCD of 243, 698, 194, 453 Calculator

Given Input numbers are 243, 698, 194, 453

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 698

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

1, 2, 349, 698

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 243, 698, 194, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 698, 194, 453 is 1.

Therefore, GCD of numbers 243, 698, 194, 453 is 1

Given Input Data is 243, 698, 194, 453

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 698 is 2 x 349

Prime Factorization of 194 is 2 x 97

Prime Factorization of 453 is 3 x 151

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(243, 698) = 169614

GCD(243, 698) = ( 243 x 698 ) / 169614

GCD(243, 698) = 169614 / 169614

GCD(243, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 243, 698, 194, 453 is 1

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1. What is the GCD of 243, 698, 194, 453?

GCD of 243, 698, 194, 453 is 1

2. Where do I get the detailed procedure to find GCD of 243, 698, 194, 453?

You can find a detailed procedure to find GCD of 243, 698, 194, 453 on our page.

3. How to find GCD of 243, 698, 194, 453 on a calculator?

You can find the GCD of 243, 698, 194, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.