GCD of 231, 141, 596, 298 Calculator

Given Input numbers are 231, 141, 596, 298

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

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 231, 141, 596, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 141, 596, 298 is 1.

Therefore, GCD of numbers 231, 141, 596, 298 is 1

Given Input Data is 231, 141, 596, 298

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 141 is 3 x 47

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 298 is 2 x 149

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(231, 141) = 10857

GCD(231, 141) = ( 231 x 141 ) / 10857

GCD(231, 141) = 32571 / 10857

GCD(231, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 231, 141, 596, 298 is 1

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1. What is the GCD of 231, 141, 596, 298?

GCD of 231, 141, 596, 298 is 1

2. Where do I get the detailed procedure to find GCD of 231, 141, 596, 298?

You can find a detailed procedure to find GCD of 231, 141, 596, 298 on our page.

3. How to find GCD of 231, 141, 596, 298 on a calculator?

You can find the GCD of 231, 141, 596, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.