GCD of 764, 566, 14, 596 Calculator

Given Input numbers are 764, 566, 14, 596

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

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 764, 566, 14, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 566, 14, 596 is 2.

Therefore, GCD of numbers 764, 566, 14, 596 is 2

Given Input Data is 764, 566, 14, 596

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 566 is 2 x 283

Prime Factorization of 14 is 2 x 7

Prime Factorization of 596 is 2 x 2 x 149

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(764, 566) = 216212

GCD(764, 566) = ( 764 x 566 ) / 216212

GCD(764, 566) = 432424 / 216212

GCD(764, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2

GCD of 764, 566, 14, 596 is 2

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1. What is the GCD of 764, 566, 14, 596?

GCD of 764, 566, 14, 596 is 2

2. Where do I get the detailed procedure to find GCD of 764, 566, 14, 596?

You can find a detailed procedure to find GCD of 764, 566, 14, 596 on our page.

3. How to find GCD of 764, 566, 14, 596 on a calculator?

You can find the GCD of 764, 566, 14, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.