GCD of 172, 494, 28, 608 Calculator

Given Input numbers are 172, 494, 28, 608

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 172, 494, 28, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 494, 28, 608 is 2.

Therefore, GCD of numbers 172, 494, 28, 608 is 2

Given Input Data is 172, 494, 28, 608

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(172, 494) = 42484

GCD(172, 494) = ( 172 x 494 ) / 42484

GCD(172, 494) = 84968 / 42484

GCD(172, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 172, 494, 28, 608 is 2

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1. What is the GCD of 172, 494, 28, 608?

GCD of 172, 494, 28, 608 is 2

2. Where do I get the detailed procedure to find GCD of 172, 494, 28, 608?

You can find a detailed procedure to find GCD of 172, 494, 28, 608 on our page.

3. How to find GCD of 172, 494, 28, 608 on a calculator?

You can find the GCD of 172, 494, 28, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.