GCD of 364, 994, 26, 694 Calculator

Given Input numbers are 364, 994, 26, 694

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 26

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

1, 2, 13, 26

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 364, 994, 26, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 994, 26, 694 is 2.

Therefore, GCD of numbers 364, 994, 26, 694 is 2

Given Input Data is 364, 994, 26, 694

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 26 is 2 x 13

Prime Factorization of 694 is 2 x 347

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(364, 994) = 25844

GCD(364, 994) = ( 364 x 994 ) / 25844

GCD(364, 994) = 361816 / 25844

GCD(364, 994) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 26

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

LCM(14, 26) = 182

GCD(14, 26) = ( 14 x 26 ) / 182

GCD(14, 26) = 364 / 182

GCD(14, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 364, 994, 26, 694 is 2

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1. What is the GCD of 364, 994, 26, 694?

GCD of 364, 994, 26, 694 is 2

2. Where do I get the detailed procedure to find GCD of 364, 994, 26, 694?

You can find a detailed procedure to find GCD of 364, 994, 26, 694 on our page.

3. How to find GCD of 364, 994, 26, 694 on a calculator?

You can find the GCD of 364, 994, 26, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.