GCD of 904, 722, 72, 748 Calculator

Given Input numbers are 904, 722, 72, 748

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

Divisors of 904

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

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 904, 722, 72, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 722, 72, 748 is 2.

Therefore, GCD of numbers 904, 722, 72, 748 is 2

Given Input Data is 904, 722, 72, 748

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

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(904, 722) = 326344

GCD(904, 722) = ( 904 x 722 ) / 326344

GCD(904, 722) = 652688 / 326344

GCD(904, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 904, 722, 72, 748 is 2

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1. What is the GCD of 904, 722, 72, 748?

GCD of 904, 722, 72, 748 is 2

2. Where do I get the detailed procedure to find GCD of 904, 722, 72, 748?

You can find a detailed procedure to find GCD of 904, 722, 72, 748 on our page.

3. How to find GCD of 904, 722, 72, 748 on a calculator?

You can find the GCD of 904, 722, 72, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.