GCD of 994, 982, 464 Calculator

Given Input numbers are 994, 982, 464

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 994, 982, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 982, 464 is 2.

Therefore, GCD of numbers 994, 982, 464 is 2

Given Input Data is 994, 982, 464

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 982 is 2 x 491

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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, 982) = 488054

GCD(994, 982) = ( 994 x 982 ) / 488054

GCD(994, 982) = 976108 / 488054

GCD(994, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 994, 982, 464 is 2

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1. What is the GCD of 994, 982, 464?

GCD of 994, 982, 464 is 2

2. Where do I get the detailed procedure to find GCD of 994, 982, 464?

You can find a detailed procedure to find GCD of 994, 982, 464 on our page.

3. How to find GCD of 994, 982, 464 on a calculator?

You can find the GCD of 994, 982, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.