GCD of 198, 605, 77, 197 Calculator

Given Input numbers are 198, 605, 77, 197

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 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 198, 605, 77, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 605, 77, 197 is 1.

Therefore, GCD of numbers 198, 605, 77, 197 is 1

Given Input Data is 198, 605, 77, 197

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 605 is 5 x 11 x 11

Prime Factorization of 77 is 7 x 11

Prime Factorization of 197 is 197

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, 605) = 10890

GCD(198, 605) = ( 198 x 605 ) / 10890

GCD(198, 605) = 119790 / 10890

GCD(198, 605) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 77

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

LCM(11, 77) = 77

GCD(11, 77) = ( 11 x 77 ) / 77

GCD(11, 77) = 847 / 77

GCD(11, 77) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 197

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

LCM(11, 197) = 2167

GCD(11, 197) = ( 11 x 197 ) / 2167

GCD(11, 197) = 2167 / 2167

GCD(11, 197) = 1

GCD of 198, 605, 77, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 841, 15, 245
• GCD of 178, 833, 34, 506
• GCD of 544, 802, 52, 283
• GCD of 134, 581, 80, 410
• GCD of 206, 167, 46, 285

1. What is the GCD of 198, 605, 77, 197?

GCD of 198, 605, 77, 197 is 1

2. Where do I get the detailed procedure to find GCD of 198, 605, 77, 197?

You can find a detailed procedure to find GCD of 198, 605, 77, 197 on our page.

3. How to find GCD of 198, 605, 77, 197 on a calculator?

You can find the GCD of 198, 605, 77, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.