GCD of 33, 727, 223, 748 Calculator

Given Input numbers are 33, 727, 223, 748

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

Divisors of 33

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

1, 3, 11, 33

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 33, 727, 223, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 727, 223, 748 is 1.

Therefore, GCD of numbers 33, 727, 223, 748 is 1

Given Input Data is 33, 727, 223, 748

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 727 is 727

Prime Factorization of 223 is 223

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(33, 727) = 23991

GCD(33, 727) = ( 33 x 727 ) / 23991

GCD(33, 727) = 23991 / 23991

GCD(33, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 223

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

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

GCD(1, 223) = 223 / 223

GCD(1, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 33, 727, 223, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 252, 549, 747
• GCD of 63, 646, 169, 304
• GCD of 56, 225, 387, 617
• GCD of 46, 409, 111, 281
• GCD of 56, 968, 248, 465

1. What is the GCD of 33, 727, 223, 748?

GCD of 33, 727, 223, 748 is 1

2. Where do I get the detailed procedure to find GCD of 33, 727, 223, 748?

You can find a detailed procedure to find GCD of 33, 727, 223, 748 on our page.

3. How to find GCD of 33, 727, 223, 748 on a calculator?

You can find the GCD of 33, 727, 223, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.