GCD of 908, 790, 30, 178 Calculator

Given Input numbers are 908, 790, 30, 178

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 908, 790, 30, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 790, 30, 178 is 2.

Therefore, GCD of numbers 908, 790, 30, 178 is 2

Given Input Data is 908, 790, 30, 178

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 30 is 2 x 3 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(908, 790) = 358660

GCD(908, 790) = ( 908 x 790 ) / 358660

GCD(908, 790) = 717320 / 358660

GCD(908, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 908, 790, 30, 178 is 2

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• GCD of 798, 394, 31, 380
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1. What is the GCD of 908, 790, 30, 178?

GCD of 908, 790, 30, 178 is 2

2. Where do I get the detailed procedure to find GCD of 908, 790, 30, 178?

You can find a detailed procedure to find GCD of 908, 790, 30, 178 on our page.

3. How to find GCD of 908, 790, 30, 178 on a calculator?

You can find the GCD of 908, 790, 30, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.