GCD of 233, 360, 738, 296 Calculator

Given Input numbers are 233, 360, 738, 296

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 233, 360, 738, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 233, 360, 738, 296 is 1.

Therefore, GCD of numbers 233, 360, 738, 296 is 1

Given Input Data is 233, 360, 738, 296

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

Prime Factorization of 233 is 233

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(233, 360) = 83880

GCD(233, 360) = ( 233 x 360 ) / 83880

GCD(233, 360) = 83880 / 83880

GCD(233, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 233, 360, 738, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 904, 393, 591
• GCD of 763, 689, 342, 463
• GCD of 642, 199, 343, 522
• GCD of 925, 122, 783, 319
• GCD of 223, 299, 504, 386

1. What is the GCD of 233, 360, 738, 296?

GCD of 233, 360, 738, 296 is 1

2. Where do I get the detailed procedure to find GCD of 233, 360, 738, 296?

You can find a detailed procedure to find GCD of 233, 360, 738, 296 on our page.

3. How to find GCD of 233, 360, 738, 296 on a calculator?

You can find the GCD of 233, 360, 738, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.