GCD of 990, 494, 70 Calculator

Given Input numbers are 990, 494, 70

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 494

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

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 990, 494, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 494, 70 is 2.

Therefore, GCD of numbers 990, 494, 70 is 2

Given Input Data is 990, 494, 70

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 494 is 2 x 13 x 19

Prime Factorization of 70 is 2 x 5 x 7

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, 494) = 244530

GCD(990, 494) = ( 990 x 494 ) / 244530

GCD(990, 494) = 489060 / 244530

GCD(990, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

GCD of 990, 494, 70 is 2

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1. What is the GCD of 990, 494, 70?

GCD of 990, 494, 70 is 2

2. Where do I get the detailed procedure to find GCD of 990, 494, 70?

You can find a detailed procedure to find GCD of 990, 494, 70 on our page.

3. How to find GCD of 990, 494, 70 on a calculator?

You can find the GCD of 990, 494, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.