GCD of 756, 303, 183, 338 Calculator

Given Input numbers are 756, 303, 183, 338

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 756, 303, 183, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 303, 183, 338 is 1.

Therefore, GCD of numbers 756, 303, 183, 338 is 1

Given Input Data is 756, 303, 183, 338

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 303 is 3 x 101

Prime Factorization of 183 is 3 x 61

Prime Factorization of 338 is 2 x 13 x 13

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(756, 303) = 76356

GCD(756, 303) = ( 756 x 303 ) / 76356

GCD(756, 303) = 229068 / 76356

GCD(756, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 183

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

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

GCD(3, 183) = 549 / 183

GCD(3, 183) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

GCD of 756, 303, 183, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 937, 128, 957
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• GCD of 302, 595, 433, 290
• GCD of 335, 137, 145, 822

1. What is the GCD of 756, 303, 183, 338?

GCD of 756, 303, 183, 338 is 1

2. Where do I get the detailed procedure to find GCD of 756, 303, 183, 338?

You can find a detailed procedure to find GCD of 756, 303, 183, 338 on our page.

3. How to find GCD of 756, 303, 183, 338 on a calculator?

You can find the GCD of 756, 303, 183, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.