GCD of 190, 973, 398, 109 Calculator

Given Input numbers are 190, 973, 398, 109

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 190, 973, 398, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 973, 398, 109 is 1.

Therefore, GCD of numbers 190, 973, 398, 109 is 1

Given Input Data is 190, 973, 398, 109

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 973 is 7 x 139

Prime Factorization of 398 is 2 x 199

Prime Factorization of 109 is 109

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(190, 973) = 184870

GCD(190, 973) = ( 190 x 973 ) / 184870

GCD(190, 973) = 184870 / 184870

GCD(190, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 190, 973, 398, 109 is 1

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1. What is the GCD of 190, 973, 398, 109?

GCD of 190, 973, 398, 109 is 1

2. Where do I get the detailed procedure to find GCD of 190, 973, 398, 109?

You can find a detailed procedure to find GCD of 190, 973, 398, 109 on our page.

3. How to find GCD of 190, 973, 398, 109 on a calculator?

You can find the GCD of 190, 973, 398, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.