GCD of 916, 820, 494 Calculator

Given Input numbers are 916, 820, 494

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 916, 820, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 820, 494 is 2.

Therefore, GCD of numbers 916, 820, 494 is 2

Given Input Data is 916, 820, 494

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(916, 820) = 187780

GCD(916, 820) = ( 916 x 820 ) / 187780

GCD(916, 820) = 751120 / 187780

GCD(916, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

GCD of 916, 820, 494 is 2

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1. What is the GCD of 916, 820, 494?

GCD of 916, 820, 494 is 2

2. Where do I get the detailed procedure to find GCD of 916, 820, 494?

You can find a detailed procedure to find GCD of 916, 820, 494 on our page.

3. How to find GCD of 916, 820, 494 on a calculator?

You can find the GCD of 916, 820, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.