GCD of 748, 349, 724, 904 Calculator

Given Input numbers are 748, 349, 724, 904

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 748, 349, 724, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 349, 724, 904 is 1.

Therefore, GCD of numbers 748, 349, 724, 904 is 1

Given Input Data is 748, 349, 724, 904

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 349 is 349

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 904 is 2 x 2 x 2 x 113

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, 349) = 261052

GCD(748, 349) = ( 748 x 349 ) / 261052

GCD(748, 349) = 261052 / 261052

GCD(748, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 748, 349, 724, 904 is 1

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1. What is the GCD of 748, 349, 724, 904?

GCD of 748, 349, 724, 904 is 1

2. Where do I get the detailed procedure to find GCD of 748, 349, 724, 904?

You can find a detailed procedure to find GCD of 748, 349, 724, 904 on our page.

3. How to find GCD of 748, 349, 724, 904 on a calculator?

You can find the GCD of 748, 349, 724, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.