GCD of 198, 230, 54, 201 Calculator

Given Input numbers are 198, 230, 54, 201

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 198, 230, 54, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 230, 54, 201 is 1.

Therefore, GCD of numbers 198, 230, 54, 201 is 1

Given Input Data is 198, 230, 54, 201

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 230 is 2 x 5 x 23

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 201 is 3 x 67

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, 230) = 22770

GCD(198, 230) = ( 198 x 230 ) / 22770

GCD(198, 230) = 45540 / 22770

GCD(198, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 201

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

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

GCD(2, 201) = 402 / 402

GCD(2, 201) = 1

GCD of 198, 230, 54, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 258, 65, 738
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• GCD of 215, 170, 63, 742
• GCD of 862, 573, 59, 629
• GCD of 394, 544, 58, 993

1. What is the GCD of 198, 230, 54, 201?

GCD of 198, 230, 54, 201 is 1

2. Where do I get the detailed procedure to find GCD of 198, 230, 54, 201?

You can find a detailed procedure to find GCD of 198, 230, 54, 201 on our page.

3. How to find GCD of 198, 230, 54, 201 on a calculator?

You can find the GCD of 198, 230, 54, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.