GCD of 178, 788, 172 Calculator

Given Input numbers are 178, 788, 172

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 178, 788, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 788, 172 is 2.

Therefore, GCD of numbers 178, 788, 172 is 2

Given Input Data is 178, 788, 172

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 172 is 2 x 2 x 43

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, 788) = 70132

GCD(178, 788) = ( 178 x 788 ) / 70132

GCD(178, 788) = 140264 / 70132

GCD(178, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 178, 788, 172 is 2

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• GCD of 720, 404, 914
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1. What is the GCD of 178, 788, 172?

GCD of 178, 788, 172 is 2

2. Where do I get the detailed procedure to find GCD of 178, 788, 172?

You can find a detailed procedure to find GCD of 178, 788, 172 on our page.

3. How to find GCD of 178, 788, 172 on a calculator?

You can find the GCD of 178, 788, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.