GCD of 728, 356, 32, 658 Calculator

Given Input numbers are 728, 356, 32, 658

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

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 728, 356, 32, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 356, 32, 658 is 2.

Therefore, GCD of numbers 728, 356, 32, 658 is 2

Given Input Data is 728, 356, 32, 658

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

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 658 is 2 x 7 x 47

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(728, 356) = 64792

GCD(728, 356) = ( 728 x 356 ) / 64792

GCD(728, 356) = 259168 / 64792

GCD(728, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 658

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

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

GCD(4, 658) = 2632 / 1316

GCD(4, 658) = 2

GCD of 728, 356, 32, 658 is 2

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1. What is the GCD of 728, 356, 32, 658?

GCD of 728, 356, 32, 658 is 2

2. Where do I get the detailed procedure to find GCD of 728, 356, 32, 658?

You can find a detailed procedure to find GCD of 728, 356, 32, 658 on our page.

3. How to find GCD of 728, 356, 32, 658 on a calculator?

You can find the GCD of 728, 356, 32, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.