GCD of 868, 199, 292, 714 Calculator

Given Input numbers are 868, 199, 292, 714

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 199

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

1, 199

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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

Greatest Common Divisior

We found the divisors of 868, 199, 292, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 199, 292, 714 is 1.

Therefore, GCD of numbers 868, 199, 292, 714 is 1

Given Input Data is 868, 199, 292, 714

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 199 is 199

Prime Factorization of 292 is 2 x 2 x 73

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

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(868, 199) = 172732

GCD(868, 199) = ( 868 x 199 ) / 172732

GCD(868, 199) = 172732 / 172732

GCD(868, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 868, 199, 292, 714 is 1

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1. What is the GCD of 868, 199, 292, 714?

GCD of 868, 199, 292, 714 is 1

2. Where do I get the detailed procedure to find GCD of 868, 199, 292, 714?

You can find a detailed procedure to find GCD of 868, 199, 292, 714 on our page.

3. How to find GCD of 868, 199, 292, 714 on a calculator?

You can find the GCD of 868, 199, 292, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.