GCD of 726, 790, 24 Calculator

Given Input numbers are 726, 790, 24

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Greatest Common Divisior

We found the divisors of 726, 790, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 790, 24 is 2.

Therefore, GCD of numbers 726, 790, 24 is 2

Given Input Data is 726, 790, 24

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 24 is 2 x 2 x 2 x 3

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(726, 790) = 286770

GCD(726, 790) = ( 726 x 790 ) / 286770

GCD(726, 790) = 573540 / 286770

GCD(726, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

GCD of 726, 790, 24 is 2

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1. What is the GCD of 726, 790, 24?

GCD of 726, 790, 24 is 2

2. Where do I get the detailed procedure to find GCD of 726, 790, 24?

You can find a detailed procedure to find GCD of 726, 790, 24 on our page.

3. How to find GCD of 726, 790, 24 on a calculator?

You can find the GCD of 726, 790, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.