GCD of 628, 336, 500, 178 Calculator

Given Input numbers are 628, 336, 500, 178

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 178

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

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 628, 336, 500, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 336, 500, 178 is 2.

Therefore, GCD of numbers 628, 336, 500, 178 is 2

Given Input Data is 628, 336, 500, 178

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 178 is 2 x 89

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(628, 336) = 52752

GCD(628, 336) = ( 628 x 336 ) / 52752

GCD(628, 336) = 211008 / 52752

GCD(628, 336) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

GCD of 628, 336, 500, 178 is 2

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1. What is the GCD of 628, 336, 500, 178?

GCD of 628, 336, 500, 178 is 2

2. Where do I get the detailed procedure to find GCD of 628, 336, 500, 178?

You can find a detailed procedure to find GCD of 628, 336, 500, 178 on our page.

3. How to find GCD of 628, 336, 500, 178 on a calculator?

You can find the GCD of 628, 336, 500, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.