GCD of 726, 272, 792, 742 Calculator

Given Input numbers are 726, 272, 792, 742

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 726, 272, 792, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 272, 792, 742 is 2.

Therefore, GCD of numbers 726, 272, 792, 742 is 2

Given Input Data is 726, 272, 792, 742

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 742 is 2 x 7 x 53

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, 272) = 98736

GCD(726, 272) = ( 726 x 272 ) / 98736

GCD(726, 272) = 197472 / 98736

GCD(726, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 726, 272, 792, 742 is 2

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1. What is the GCD of 726, 272, 792, 742?

GCD of 726, 272, 792, 742 is 2

2. Where do I get the detailed procedure to find GCD of 726, 272, 792, 742?

You can find a detailed procedure to find GCD of 726, 272, 792, 742 on our page.

3. How to find GCD of 726, 272, 792, 742 on a calculator?

You can find the GCD of 726, 272, 792, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.