GCD of 189, 713, 93, 398 Calculator

Given Input numbers are 189, 713, 93, 398

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 189, 713, 93, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 713, 93, 398 is 1.

Therefore, GCD of numbers 189, 713, 93, 398 is 1

Given Input Data is 189, 713, 93, 398

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 713 is 23 x 31

Prime Factorization of 93 is 3 x 31

Prime Factorization of 398 is 2 x 199

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(189, 713) = 134757

GCD(189, 713) = ( 189 x 713 ) / 134757

GCD(189, 713) = 134757 / 134757

GCD(189, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 93

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

LCM(1, 93) = 93

GCD(1, 93) = ( 1 x 93 ) / 93

GCD(1, 93) = 93 / 93

GCD(1, 93) = 1

Step3:

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

GCD of 189, 713, 93, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 188, 36, 152
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1. What is the GCD of 189, 713, 93, 398?

GCD of 189, 713, 93, 398 is 1

2. Where do I get the detailed procedure to find GCD of 189, 713, 93, 398?

You can find a detailed procedure to find GCD of 189, 713, 93, 398 on our page.

3. How to find GCD of 189, 713, 93, 398 on a calculator?

You can find the GCD of 189, 713, 93, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.