GCD of 994, 478, 696, 966 Calculator

Given Input numbers are 994, 478, 696, 966

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

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 994, 478, 696, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 478, 696, 966 is 2.

Therefore, GCD of numbers 994, 478, 696, 966 is 2

Given Input Data is 994, 478, 696, 966

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 478 is 2 x 239

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(994, 478) = 237566

GCD(994, 478) = ( 994 x 478 ) / 237566

GCD(994, 478) = 475132 / 237566

GCD(994, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 994, 478, 696, 966 is 2

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1. What is the GCD of 994, 478, 696, 966?

GCD of 994, 478, 696, 966 is 2

2. Where do I get the detailed procedure to find GCD of 994, 478, 696, 966?

You can find a detailed procedure to find GCD of 994, 478, 696, 966 on our page.

3. How to find GCD of 994, 478, 696, 966 on a calculator?

You can find the GCD of 994, 478, 696, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.