GCD of 713, 969, 199 Calculator

Given Input numbers are 713, 969, 199

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

Divisors of 713

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

1, 23, 31, 713

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 713, 969, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 969, 199 is 1.

Therefore, GCD of numbers 713, 969, 199 is 1

Given Input Data is 713, 969, 199

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 199 is 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(713, 969) = 690897

GCD(713, 969) = ( 713 x 969 ) / 690897

GCD(713, 969) = 690897 / 690897

GCD(713, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 713, 969, 199 is 1

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1. What is the GCD of 713, 969, 199?

GCD of 713, 969, 199 is 1

2. Where do I get the detailed procedure to find GCD of 713, 969, 199?

You can find a detailed procedure to find GCD of 713, 969, 199 on our page.

3. How to find GCD of 713, 969, 199 on a calculator?

You can find the GCD of 713, 969, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.