GCD of 288, 741, 92, 331 Calculator

Given Input numbers are 288, 741, 92, 331

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 288, 741, 92, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 741, 92, 331 is 1.

Therefore, GCD of numbers 288, 741, 92, 331 is 1

Given Input Data is 288, 741, 92, 331

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 331 is 331

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(288, 741) = 71136

GCD(288, 741) = ( 288 x 741 ) / 71136

GCD(288, 741) = 213408 / 71136

GCD(288, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 92

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

LCM(3, 92) = 276

GCD(3, 92) = ( 3 x 92 ) / 276

GCD(3, 92) = 276 / 276

GCD(3, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 288, 741, 92, 331 is 1

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1. What is the GCD of 288, 741, 92, 331?

GCD of 288, 741, 92, 331 is 1

2. Where do I get the detailed procedure to find GCD of 288, 741, 92, 331?

You can find a detailed procedure to find GCD of 288, 741, 92, 331 on our page.

3. How to find GCD of 288, 741, 92, 331 on a calculator?

You can find the GCD of 288, 741, 92, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.