GCD of 232, 628, 164 Calculator

Given Input numbers are 232, 628, 164

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 232, 628, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 628, 164 is 4.

Therefore, GCD of numbers 232, 628, 164 is 4

Given Input Data is 232, 628, 164

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 164 is 2 x 2 x 41

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(232, 628) = 36424

GCD(232, 628) = ( 232 x 628 ) / 36424

GCD(232, 628) = 145696 / 36424

GCD(232, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 164

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

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

GCD(4, 164) = 656 / 164

GCD(4, 164) = 4

GCD of 232, 628, 164 is 4

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1. What is the GCD of 232, 628, 164?

GCD of 232, 628, 164 is 4

2. Where do I get the detailed procedure to find GCD of 232, 628, 164?

You can find a detailed procedure to find GCD of 232, 628, 164 on our page.

3. How to find GCD of 232, 628, 164 on a calculator?

You can find the GCD of 232, 628, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.