GCD of 198, 486, 53, 488 Calculator

Given Input numbers are 198, 486, 53, 488

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 198, 486, 53, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 486, 53, 488 is 1.

Therefore, GCD of numbers 198, 486, 53, 488 is 1

Given Input Data is 198, 486, 53, 488

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 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 53 is 53

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 486) = 5346

GCD(198, 486) = ( 198 x 486 ) / 5346

GCD(198, 486) = 96228 / 5346

GCD(198, 486) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 53

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

LCM(18, 53) = 954

GCD(18, 53) = ( 18 x 53 ) / 954

GCD(18, 53) = 954 / 954

GCD(18, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 198, 486, 53, 488 is 1

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• GCD of 684, 827, 22, 419
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1. What is the GCD of 198, 486, 53, 488?

GCD of 198, 486, 53, 488 is 1

2. Where do I get the detailed procedure to find GCD of 198, 486, 53, 488?

You can find a detailed procedure to find GCD of 198, 486, 53, 488 on our page.

3. How to find GCD of 198, 486, 53, 488 on a calculator?

You can find the GCD of 198, 486, 53, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.