GCD of 198, 233, 980, 719 Calculator

Given Input numbers are 198, 233, 980, 719

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

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

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 198, 233, 980, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 233, 980, 719 is 1.

Therefore, GCD of numbers 198, 233, 980, 719 is 1

Given Input Data is 198, 233, 980, 719

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

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

Prime Factorization of 233 is 233

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 719 is 719

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(198, 233) = 46134

GCD(198, 233) = ( 198 x 233 ) / 46134

GCD(198, 233) = 46134 / 46134

GCD(198, 233) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 719

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

LCM(1, 719) = 719

GCD(1, 719) = ( 1 x 719 ) / 719

GCD(1, 719) = 719 / 719

GCD(1, 719) = 1

GCD of 198, 233, 980, 719 is 1

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1. What is the GCD of 198, 233, 980, 719?

GCD of 198, 233, 980, 719 is 1

2. Where do I get the detailed procedure to find GCD of 198, 233, 980, 719?

You can find a detailed procedure to find GCD of 198, 233, 980, 719 on our page.

3. How to find GCD of 198, 233, 980, 719 on a calculator?

You can find the GCD of 198, 233, 980, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.