GCD of 998, 188, 58, 918 Calculator

Given Input numbers are 998, 188, 58, 918

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 998, 188, 58, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 188, 58, 918 is 2.

Therefore, GCD of numbers 998, 188, 58, 918 is 2

Given Input Data is 998, 188, 58, 918

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 58 is 2 x 29

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(998, 188) = 93812

GCD(998, 188) = ( 998 x 188 ) / 93812

GCD(998, 188) = 187624 / 93812

GCD(998, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

GCD of 998, 188, 58, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 766, 79, 155
• GCD of 306, 135, 53, 900
• GCD of 392, 152, 78, 499
• GCD of 830, 806, 95, 661
• GCD of 502, 159, 71, 377

1. What is the GCD of 998, 188, 58, 918?

GCD of 998, 188, 58, 918 is 2

2. Where do I get the detailed procedure to find GCD of 998, 188, 58, 918?

You can find a detailed procedure to find GCD of 998, 188, 58, 918 on our page.

3. How to find GCD of 998, 188, 58, 918 on a calculator?

You can find the GCD of 998, 188, 58, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.