GCD of 198, 928, 976, 380 Calculator

Given Input numbers are 198, 928, 976, 380

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

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 198, 928, 976, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 928, 976, 380 is 2.

Therefore, GCD of numbers 198, 928, 976, 380 is 2

Given Input Data is 198, 928, 976, 380

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

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 380 is 2 x 2 x 5 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(198, 928) = 91872

GCD(198, 928) = ( 198 x 928 ) / 91872

GCD(198, 928) = 183744 / 91872

GCD(198, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 198, 928, 976, 380 is 2

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1. What is the GCD of 198, 928, 976, 380?

GCD of 198, 928, 976, 380 is 2

2. Where do I get the detailed procedure to find GCD of 198, 928, 976, 380?

You can find a detailed procedure to find GCD of 198, 928, 976, 380 on our page.

3. How to find GCD of 198, 928, 976, 380 on a calculator?

You can find the GCD of 198, 928, 976, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.