GCD of 237, 588, 496, 243 Calculator

Given Input numbers are 237, 588, 496, 243

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 243

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

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 237, 588, 496, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 588, 496, 243 is 1.

Therefore, GCD of numbers 237, 588, 496, 243 is 1

Given Input Data is 237, 588, 496, 243

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

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(237, 588) = 46452

GCD(237, 588) = ( 237 x 588 ) / 46452

GCD(237, 588) = 139356 / 46452

GCD(237, 588) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 496

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

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

GCD(3, 496) = 1488 / 1488

GCD(3, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 237, 588, 496, 243 is 1

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1. What is the GCD of 237, 588, 496, 243?

GCD of 237, 588, 496, 243 is 1

2. Where do I get the detailed procedure to find GCD of 237, 588, 496, 243?

You can find a detailed procedure to find GCD of 237, 588, 496, 243 on our page.

3. How to find GCD of 237, 588, 496, 243 on a calculator?

You can find the GCD of 237, 588, 496, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.