GCD of 191, 714, 659, 318 Calculator

Given Input numbers are 191, 714, 659, 318

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

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 191, 714, 659, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 191, 714, 659, 318 is 1.

Therefore, GCD of numbers 191, 714, 659, 318 is 1

Given Input Data is 191, 714, 659, 318

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

Prime Factorization of 191 is 191

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 659 is 659

Prime Factorization of 318 is 2 x 3 x 53

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(191, 714) = 136374

GCD(191, 714) = ( 191 x 714 ) / 136374

GCD(191, 714) = 136374 / 136374

GCD(191, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 191, 714, 659, 318 is 1

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1. What is the GCD of 191, 714, 659, 318?

GCD of 191, 714, 659, 318 is 1

2. Where do I get the detailed procedure to find GCD of 191, 714, 659, 318?

You can find a detailed procedure to find GCD of 191, 714, 659, 318 on our page.

3. How to find GCD of 191, 714, 659, 318 on a calculator?

You can find the GCD of 191, 714, 659, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.