GCD of 998, 474, 76, 186 Calculator

Given Input numbers are 998, 474, 76, 186

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 998, 474, 76, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 474, 76, 186 is 2.

Therefore, GCD of numbers 998, 474, 76, 186 is 2

Given Input Data is 998, 474, 76, 186

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 186 is 2 x 3 x 31

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, 474) = 236526

GCD(998, 474) = ( 998 x 474 ) / 236526

GCD(998, 474) = 473052 / 236526

GCD(998, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

GCD of 998, 474, 76, 186 is 2

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1. What is the GCD of 998, 474, 76, 186?

GCD of 998, 474, 76, 186 is 2

2. Where do I get the detailed procedure to find GCD of 998, 474, 76, 186?

You can find a detailed procedure to find GCD of 998, 474, 76, 186 on our page.

3. How to find GCD of 998, 474, 76, 186 on a calculator?

You can find the GCD of 998, 474, 76, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.