GCD of 756, 298, 33, 909 Calculator

Given Input numbers are 756, 298, 33, 909

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 756, 298, 33, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 298, 33, 909 is 1.

Therefore, GCD of numbers 756, 298, 33, 909 is 1

Given Input Data is 756, 298, 33, 909

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 298 is 2 x 149

Prime Factorization of 33 is 3 x 11

Prime Factorization of 909 is 3 x 3 x 101

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, 298) = 112644

GCD(756, 298) = ( 756 x 298 ) / 112644

GCD(756, 298) = 225288 / 112644

GCD(756, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 756, 298, 33, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 232, 54, 601
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1. What is the GCD of 756, 298, 33, 909?

GCD of 756, 298, 33, 909 is 1

2. Where do I get the detailed procedure to find GCD of 756, 298, 33, 909?

You can find a detailed procedure to find GCD of 756, 298, 33, 909 on our page.

3. How to find GCD of 756, 298, 33, 909 on a calculator?

You can find the GCD of 756, 298, 33, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.