GCD of 208, 733, 75, 296 Calculator

Given Input numbers are 208, 733, 75, 296

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 208, 733, 75, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 733, 75, 296 is 1.

Therefore, GCD of numbers 208, 733, 75, 296 is 1

Given Input Data is 208, 733, 75, 296

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 733 is 733

Prime Factorization of 75 is 3 x 5 x 5

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(208, 733) = 152464

GCD(208, 733) = ( 208 x 733 ) / 152464

GCD(208, 733) = 152464 / 152464

GCD(208, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 208, 733, 75, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 423, 59, 384
• GCD of 152, 866, 94, 945
• GCD of 773, 293, 56, 344
• GCD of 733, 457, 83, 188
• GCD of 953, 899, 19, 886

1. What is the GCD of 208, 733, 75, 296?

GCD of 208, 733, 75, 296 is 1

2. Where do I get the detailed procedure to find GCD of 208, 733, 75, 296?

You can find a detailed procedure to find GCD of 208, 733, 75, 296 on our page.

3. How to find GCD of 208, 733, 75, 296 on a calculator?

You can find the GCD of 208, 733, 75, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.