GCD of 991, 209, 194, 498 Calculator

Given Input numbers are 991, 209, 194, 498

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 991, 209, 194, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 209, 194, 498 is 1.

Therefore, GCD of numbers 991, 209, 194, 498 is 1

Given Input Data is 991, 209, 194, 498

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

Prime Factorization of 991 is 991

Prime Factorization of 209 is 11 x 19

Prime Factorization of 194 is 2 x 97

Prime Factorization of 498 is 2 x 3 x 83

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(991, 209) = 207119

GCD(991, 209) = ( 991 x 209 ) / 207119

GCD(991, 209) = 207119 / 207119

GCD(991, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 991, 209, 194, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 415, 658, 221
• GCD of 814, 752, 350, 471
• GCD of 681, 222, 739, 113
• GCD of 421, 908, 451, 707
• GCD of 836, 265, 520, 552

1. What is the GCD of 991, 209, 194, 498?

GCD of 991, 209, 194, 498 is 1

2. Where do I get the detailed procedure to find GCD of 991, 209, 194, 498?

You can find a detailed procedure to find GCD of 991, 209, 194, 498 on our page.

3. How to find GCD of 991, 209, 194, 498 on a calculator?

You can find the GCD of 991, 209, 194, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.