GCD of 748, 944, 723, 725 Calculator

Given Input numbers are 748, 944, 723, 725

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 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 748, 944, 723, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 944, 723, 725 is 1.

Therefore, GCD of numbers 748, 944, 723, 725 is 1

Given Input Data is 748, 944, 723, 725

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 723 is 3 x 241

Prime Factorization of 725 is 5 x 5 x 29

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, 944) = 176528

GCD(748, 944) = ( 748 x 944 ) / 176528

GCD(748, 944) = 706112 / 176528

GCD(748, 944) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 723

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

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

GCD(4, 723) = 2892 / 2892

GCD(4, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 748, 944, 723, 725 is 1

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1. What is the GCD of 748, 944, 723, 725?

GCD of 748, 944, 723, 725 is 1

2. Where do I get the detailed procedure to find GCD of 748, 944, 723, 725?

You can find a detailed procedure to find GCD of 748, 944, 723, 725 on our page.

3. How to find GCD of 748, 944, 723, 725 on a calculator?

You can find the GCD of 748, 944, 723, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.