GCD of 198, 955, 99, 718 Calculator

Given Input numbers are 198, 955, 99, 718

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 198, 955, 99, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 955, 99, 718 is 1.

Therefore, GCD of numbers 198, 955, 99, 718 is 1

Given Input Data is 198, 955, 99, 718

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 955 is 5 x 191

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 718 is 2 x 359

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, 955) = 189090

GCD(198, 955) = ( 198 x 955 ) / 189090

GCD(198, 955) = 189090 / 189090

GCD(198, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 198, 955, 99, 718 is 1

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1. What is the GCD of 198, 955, 99, 718?

GCD of 198, 955, 99, 718 is 1

2. Where do I get the detailed procedure to find GCD of 198, 955, 99, 718?

You can find a detailed procedure to find GCD of 198, 955, 99, 718 on our page.

3. How to find GCD of 198, 955, 99, 718 on a calculator?

You can find the GCD of 198, 955, 99, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.