GCD of 178, 910, 198 Calculator

Given Input numbers are 178, 910, 198

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 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 178, 910, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 910, 198 is 2.

Therefore, GCD of numbers 178, 910, 198 is 2

Given Input Data is 178, 910, 198

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

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, 910) = 80990

GCD(178, 910) = ( 178 x 910 ) / 80990

GCD(178, 910) = 161980 / 80990

GCD(178, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 178, 910, 198 is 2

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1. What is the GCD of 178, 910, 198?

GCD of 178, 910, 198 is 2

2. Where do I get the detailed procedure to find GCD of 178, 910, 198?

You can find a detailed procedure to find GCD of 178, 910, 198 on our page.

3. How to find GCD of 178, 910, 198 on a calculator?

You can find the GCD of 178, 910, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.