GCD of 288, 972, 234, 793 Calculator

Given Input numbers are 288, 972, 234, 793

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 288, 972, 234, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 972, 234, 793 is 1.

Therefore, GCD of numbers 288, 972, 234, 793 is 1

Given Input Data is 288, 972, 234, 793

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 793 is 13 x 61

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, 972) = 7776

GCD(288, 972) = ( 288 x 972 ) / 7776

GCD(288, 972) = 279936 / 7776

GCD(288, 972) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 234

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

LCM(36, 234) = 468

GCD(36, 234) = ( 36 x 234 ) / 468

GCD(36, 234) = 8424 / 468

GCD(36, 234) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 793

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

LCM(18, 793) = 14274

GCD(18, 793) = ( 18 x 793 ) / 14274

GCD(18, 793) = 14274 / 14274

GCD(18, 793) = 1

GCD of 288, 972, 234, 793 is 1

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1. What is the GCD of 288, 972, 234, 793?

GCD of 288, 972, 234, 793 is 1

2. Where do I get the detailed procedure to find GCD of 288, 972, 234, 793?

You can find a detailed procedure to find GCD of 288, 972, 234, 793 on our page.

3. How to find GCD of 288, 972, 234, 793 on a calculator?

You can find the GCD of 288, 972, 234, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.