GCD of 748, 555, 49, 444 Calculator

Given Input numbers are 748, 555, 49, 444

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

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

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 748, 555, 49, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 555, 49, 444 is 1.

Therefore, GCD of numbers 748, 555, 49, 444 is 1

Given Input Data is 748, 555, 49, 444

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

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

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 444 is 2 x 2 x 3 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(748, 555) = 415140

GCD(748, 555) = ( 748 x 555 ) / 415140

GCD(748, 555) = 415140 / 415140

GCD(748, 555) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 748, 555, 49, 444 is 1

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1. What is the GCD of 748, 555, 49, 444?

GCD of 748, 555, 49, 444 is 1

2. Where do I get the detailed procedure to find GCD of 748, 555, 49, 444?

You can find a detailed procedure to find GCD of 748, 555, 49, 444 on our page.

3. How to find GCD of 748, 555, 49, 444 on a calculator?

You can find the GCD of 748, 555, 49, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.