GCD of 272, 626, 74, 796 Calculator

Given Input numbers are 272, 626, 74, 796

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

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 272, 626, 74, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 626, 74, 796 is 2.

Therefore, GCD of numbers 272, 626, 74, 796 is 2

Given Input Data is 272, 626, 74, 796

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 626 is 2 x 313

Prime Factorization of 74 is 2 x 37

Prime Factorization of 796 is 2 x 2 x 199

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(272, 626) = 85136

GCD(272, 626) = ( 272 x 626 ) / 85136

GCD(272, 626) = 170272 / 85136

GCD(272, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 272, 626, 74, 796 is 2

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1. What is the GCD of 272, 626, 74, 796?

GCD of 272, 626, 74, 796 is 2

2. Where do I get the detailed procedure to find GCD of 272, 626, 74, 796?

You can find a detailed procedure to find GCD of 272, 626, 74, 796 on our page.

3. How to find GCD of 272, 626, 74, 796 on a calculator?

You can find the GCD of 272, 626, 74, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.