GCD of 364, 442, 764 Calculator

Given Input numbers are 364, 442, 764

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 364, 442, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 442, 764 is 2.

Therefore, GCD of numbers 364, 442, 764 is 2

Given Input Data is 364, 442, 764

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 442 is 2 x 13 x 17

Prime Factorization of 764 is 2 x 2 x 191

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, 442) = 6188

GCD(364, 442) = ( 364 x 442 ) / 6188

GCD(364, 442) = 160888 / 6188

GCD(364, 442) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 764

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

LCM(26, 764) = 9932

GCD(26, 764) = ( 26 x 764 ) / 9932

GCD(26, 764) = 19864 / 9932

GCD(26, 764) = 2

GCD of 364, 442, 764 is 2

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1. What is the GCD of 364, 442, 764?

GCD of 364, 442, 764 is 2

2. Where do I get the detailed procedure to find GCD of 364, 442, 764?

You can find a detailed procedure to find GCD of 364, 442, 764 on our page.

3. How to find GCD of 364, 442, 764 on a calculator?

You can find the GCD of 364, 442, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.