GCD of 800, 292, 86, 191 Calculator

Given Input numbers are 800, 292, 86, 191

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 292

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

1, 2, 4, 73, 146, 292

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 191

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

1, 191

Greatest Common Divisior

We found the divisors of 800, 292, 86, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 292, 86, 191 is 1.

Therefore, GCD of numbers 800, 292, 86, 191 is 1

Given Input Data is 800, 292, 86, 191

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 86 is 2 x 43

Prime Factorization of 191 is 191

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(800, 292) = 58400

GCD(800, 292) = ( 800 x 292 ) / 58400

GCD(800, 292) = 233600 / 58400

GCD(800, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 191

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

LCM(2, 191) = 382

GCD(2, 191) = ( 2 x 191 ) / 382

GCD(2, 191) = 382 / 382

GCD(2, 191) = 1

GCD of 800, 292, 86, 191 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 310, 20, 839
• GCD of 690, 624, 90, 494
• GCD of 224, 963, 83, 174
• GCD of 376, 235, 21, 611
• GCD of 377, 486, 62, 985

1. What is the GCD of 800, 292, 86, 191?

GCD of 800, 292, 86, 191 is 1

2. Where do I get the detailed procedure to find GCD of 800, 292, 86, 191?

You can find a detailed procedure to find GCD of 800, 292, 86, 191 on our page.

3. How to find GCD of 800, 292, 86, 191 on a calculator?

You can find the GCD of 800, 292, 86, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.