GCD of 990, 710, 464, 494 Calculator

Given Input numbers are 990, 710, 464, 494

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 990, 710, 464, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 710, 464, 494 is 2.

Therefore, GCD of numbers 990, 710, 464, 494 is 2

Given Input Data is 990, 710, 464, 494

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 710 is 2 x 5 x 71

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

Prime Factorization of 494 is 2 x 13 x 19

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(990, 710) = 70290

GCD(990, 710) = ( 990 x 710 ) / 70290

GCD(990, 710) = 702900 / 70290

GCD(990, 710) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 464

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

LCM(10, 464) = 2320

GCD(10, 464) = ( 10 x 464 ) / 2320

GCD(10, 464) = 4640 / 2320

GCD(10, 464) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 494

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

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

GCD(2, 494) = 988 / 494

GCD(2, 494) = 2

GCD of 990, 710, 464, 494 is 2

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1. What is the GCD of 990, 710, 464, 494?

GCD of 990, 710, 464, 494 is 2

2. Where do I get the detailed procedure to find GCD of 990, 710, 464, 494?

You can find a detailed procedure to find GCD of 990, 710, 464, 494 on our page.

3. How to find GCD of 990, 710, 464, 494 on a calculator?

You can find the GCD of 990, 710, 464, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.