GCD of 869, 779, 493, 198 Calculator

Given Input numbers are 869, 779, 493, 198

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 869, 779, 493, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 779, 493, 198 is 1.

Therefore, GCD of numbers 869, 779, 493, 198 is 1

Given Input Data is 869, 779, 493, 198

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 779 is 19 x 41

Prime Factorization of 493 is 17 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(869, 779) = 676951

GCD(869, 779) = ( 869 x 779 ) / 676951

GCD(869, 779) = 676951 / 676951

GCD(869, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 869, 779, 493, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 129, 728, 937
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• GCD of 215, 557, 589, 600
• GCD of 247, 791, 595, 623

1. What is the GCD of 869, 779, 493, 198?

GCD of 869, 779, 493, 198 is 1

2. Where do I get the detailed procedure to find GCD of 869, 779, 493, 198?

You can find a detailed procedure to find GCD of 869, 779, 493, 198 on our page.

3. How to find GCD of 869, 779, 493, 198 on a calculator?

You can find the GCD of 869, 779, 493, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.