GCD of 850, 498, 99, 187 Calculator

Given Input numbers are 850, 498, 99, 187

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 850, 498, 99, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 498, 99, 187 is 1.

Therefore, GCD of numbers 850, 498, 99, 187 is 1

Given Input Data is 850, 498, 99, 187

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 187 is 11 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(850, 498) = 211650

GCD(850, 498) = ( 850 x 498 ) / 211650

GCD(850, 498) = 423300 / 211650

GCD(850, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 850, 498, 99, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 723, 51, 749
• GCD of 567, 407, 94, 317
• GCD of 144, 136, 87, 313
• GCD of 316, 824, 72, 600
• GCD of 283, 352, 89, 415

1. What is the GCD of 850, 498, 99, 187?

GCD of 850, 498, 99, 187 is 1

2. Where do I get the detailed procedure to find GCD of 850, 498, 99, 187?

You can find a detailed procedure to find GCD of 850, 498, 99, 187 on our page.

3. How to find GCD of 850, 498, 99, 187 on a calculator?

You can find the GCD of 850, 498, 99, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.