GCD of 494, 802, 874 Calculator

Given Input numbers are 494, 802, 874

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

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 494, 802, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 802, 874 is 2.

Therefore, GCD of numbers 494, 802, 874 is 2

Given Input Data is 494, 802, 874

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 802 is 2 x 401

Prime Factorization of 874 is 2 x 19 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(494, 802) = 198094

GCD(494, 802) = ( 494 x 802 ) / 198094

GCD(494, 802) = 396188 / 198094

GCD(494, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 494, 802, 874 is 2

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• GCD of 117, 883, 512
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1. What is the GCD of 494, 802, 874?

GCD of 494, 802, 874 is 2

2. Where do I get the detailed procedure to find GCD of 494, 802, 874?

You can find a detailed procedure to find GCD of 494, 802, 874 on our page.

3. How to find GCD of 494, 802, 874 on a calculator?

You can find the GCD of 494, 802, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.