GCD of 178, 648, 20, 728 Calculator

Given Input numbers are 178, 648, 20, 728

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 178, 648, 20, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 648, 20, 728 is 2.

Therefore, GCD of numbers 178, 648, 20, 728 is 2

Given Input Data is 178, 648, 20, 728

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(178, 648) = 57672

GCD(178, 648) = ( 178 x 648 ) / 57672

GCD(178, 648) = 115344 / 57672

GCD(178, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 178, 648, 20, 728 is 2

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1. What is the GCD of 178, 648, 20, 728?

GCD of 178, 648, 20, 728 is 2

2. Where do I get the detailed procedure to find GCD of 178, 648, 20, 728?

You can find a detailed procedure to find GCD of 178, 648, 20, 728 on our page.

3. How to find GCD of 178, 648, 20, 728 on a calculator?

You can find the GCD of 178, 648, 20, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.