GCD of 198, 939, 754 Calculator

Given Input numbers are 198, 939, 754

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 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 198, 939, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 939, 754 is 1.

Therefore, GCD of numbers 198, 939, 754 is 1

Given Input Data is 198, 939, 754

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 939 is 3 x 313

Prime Factorization of 754 is 2 x 13 x 29

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(198, 939) = 61974

GCD(198, 939) = ( 198 x 939 ) / 61974

GCD(198, 939) = 185922 / 61974

GCD(198, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 754

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

LCM(3, 754) = 2262

GCD(3, 754) = ( 3 x 754 ) / 2262

GCD(3, 754) = 2262 / 2262

GCD(3, 754) = 1

GCD of 198, 939, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 412, 123
• GCD of 876, 448, 746
• GCD of 827, 701, 881
• GCD of 519, 189, 368
• GCD of 754, 459, 340

1. What is the GCD of 198, 939, 754?

GCD of 198, 939, 754 is 1

2. Where do I get the detailed procedure to find GCD of 198, 939, 754?

You can find a detailed procedure to find GCD of 198, 939, 754 on our page.

3. How to find GCD of 198, 939, 754 on a calculator?

You can find the GCD of 198, 939, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.