GCD of 522, 776, 994 Calculator

Given Input numbers are 522, 776, 994

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 994

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

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

Greatest Common Divisior

We found the divisors of 522, 776, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 776, 994 is 2.

Therefore, GCD of numbers 522, 776, 994 is 2

Given Input Data is 522, 776, 994

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 994 is 2 x 7 x 71

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(522, 776) = 202536

GCD(522, 776) = ( 522 x 776 ) / 202536

GCD(522, 776) = 405072 / 202536

GCD(522, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 994

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

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

GCD(2, 994) = 1988 / 994

GCD(2, 994) = 2

GCD of 522, 776, 994 is 2

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1. What is the GCD of 522, 776, 994?

GCD of 522, 776, 994 is 2

2. Where do I get the detailed procedure to find GCD of 522, 776, 994?

You can find a detailed procedure to find GCD of 522, 776, 994 on our page.

3. How to find GCD of 522, 776, 994 on a calculator?

You can find the GCD of 522, 776, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.