GCD of 988, 174, 38 Calculator

Given Input numbers are 988, 174, 38

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 988, 174, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 174, 38 is 2.

Therefore, GCD of numbers 988, 174, 38 is 2

Given Input Data is 988, 174, 38

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 38 is 2 x 19

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(988, 174) = 85956

GCD(988, 174) = ( 988 x 174 ) / 85956

GCD(988, 174) = 171912 / 85956

GCD(988, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

GCD of 988, 174, 38 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 792, 54
• GCD of 417, 193, 32
• GCD of 227, 767, 25
• GCD of 736, 537, 59
• GCD of 711, 623, 97

1. What is the GCD of 988, 174, 38?

GCD of 988, 174, 38 is 2

2. Where do I get the detailed procedure to find GCD of 988, 174, 38?

You can find a detailed procedure to find GCD of 988, 174, 38 on our page.

3. How to find GCD of 988, 174, 38 on a calculator?

You can find the GCD of 988, 174, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.