GCD of 712, 494, 26 Calculator

Given Input numbers are 712, 494, 26

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 712, 494, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 494, 26 is 2.

Therefore, GCD of numbers 712, 494, 26 is 2

Given Input Data is 712, 494, 26

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 26 is 2 x 13

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(712, 494) = 175864

GCD(712, 494) = ( 712 x 494 ) / 175864

GCD(712, 494) = 351728 / 175864

GCD(712, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

GCD of 712, 494, 26 is 2

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1. What is the GCD of 712, 494, 26?

GCD of 712, 494, 26 is 2

2. Where do I get the detailed procedure to find GCD of 712, 494, 26?

You can find a detailed procedure to find GCD of 712, 494, 26 on our page.

3. How to find GCD of 712, 494, 26 on a calculator?

You can find the GCD of 712, 494, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.