GCD of 298, 243, 311, 940 Calculator

Given Input numbers are 298, 243, 311, 940

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 298, 243, 311, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 243, 311, 940 is 1.

Therefore, GCD of numbers 298, 243, 311, 940 is 1

Given Input Data is 298, 243, 311, 940

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 311 is 311

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(298, 243) = 72414

GCD(298, 243) = ( 298 x 243 ) / 72414

GCD(298, 243) = 72414 / 72414

GCD(298, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 298, 243, 311, 940 is 1

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1. What is the GCD of 298, 243, 311, 940?

GCD of 298, 243, 311, 940 is 1

2. Where do I get the detailed procedure to find GCD of 298, 243, 311, 940?

You can find a detailed procedure to find GCD of 298, 243, 311, 940 on our page.

3. How to find GCD of 298, 243, 311, 940 on a calculator?

You can find the GCD of 298, 243, 311, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.