GCD of 494, 846, 468, 174 Calculator

Given Input numbers are 494, 846, 468, 174

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 494, 846, 468, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 846, 468, 174 is 2.

Therefore, GCD of numbers 494, 846, 468, 174 is 2

Given Input Data is 494, 846, 468, 174

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 846 is 2 x 3 x 3 x 47

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 174 is 2 x 3 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(494, 846) = 208962

GCD(494, 846) = ( 494 x 846 ) / 208962

GCD(494, 846) = 417924 / 208962

GCD(494, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 494, 846, 468, 174 is 2

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1. What is the GCD of 494, 846, 468, 174?

GCD of 494, 846, 468, 174 is 2

2. Where do I get the detailed procedure to find GCD of 494, 846, 468, 174?

You can find a detailed procedure to find GCD of 494, 846, 468, 174 on our page.

3. How to find GCD of 494, 846, 468, 174 on a calculator?

You can find the GCD of 494, 846, 468, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.