GCD of 475, 205, 938, 198 Calculator

Given Input numbers are 475, 205, 938, 198

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

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

Greatest Common Divisior

We found the divisors of 475, 205, 938, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 205, 938, 198 is 1.

Therefore, GCD of numbers 475, 205, 938, 198 is 1

Given Input Data is 475, 205, 938, 198

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 205 is 5 x 41

Prime Factorization of 938 is 2 x 7 x 67

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

The above numbers do not have any common prime factor. So GCD is 1

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(475, 205) = 19475

GCD(475, 205) = ( 475 x 205 ) / 19475

GCD(475, 205) = 97375 / 19475

GCD(475, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 938

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

LCM(5, 938) = 4690

GCD(5, 938) = ( 5 x 938 ) / 4690

GCD(5, 938) = 4690 / 4690

GCD(5, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 475, 205, 938, 198 is 1

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1. What is the GCD of 475, 205, 938, 198?

GCD of 475, 205, 938, 198 is 1

2. Where do I get the detailed procedure to find GCD of 475, 205, 938, 198?

You can find a detailed procedure to find GCD of 475, 205, 938, 198 on our page.

3. How to find GCD of 475, 205, 938, 198 on a calculator?

You can find the GCD of 475, 205, 938, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.