GCD of 198, 484, 565, 139 Calculator

Given Input numbers are 198, 484, 565, 139

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 198, 484, 565, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 484, 565, 139 is 1.

Therefore, GCD of numbers 198, 484, 565, 139 is 1

Given Input Data is 198, 484, 565, 139

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 565 is 5 x 113

Prime Factorization of 139 is 139

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, 484) = 4356

GCD(198, 484) = ( 198 x 484 ) / 4356

GCD(198, 484) = 95832 / 4356

GCD(198, 484) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 565

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

LCM(22, 565) = 12430

GCD(22, 565) = ( 22 x 565 ) / 12430

GCD(22, 565) = 12430 / 12430

GCD(22, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 198, 484, 565, 139 is 1

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1. What is the GCD of 198, 484, 565, 139?

GCD of 198, 484, 565, 139 is 1

2. Where do I get the detailed procedure to find GCD of 198, 484, 565, 139?

You can find a detailed procedure to find GCD of 198, 484, 565, 139 on our page.

3. How to find GCD of 198, 484, 565, 139 on a calculator?

You can find the GCD of 198, 484, 565, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.