GCD of 418, 198, 374, 511 Calculator

Given Input numbers are 418, 198, 374, 511

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 418, 198, 374, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 198, 374, 511 is 1.

Therefore, GCD of numbers 418, 198, 374, 511 is 1

Given Input Data is 418, 198, 374, 511

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 511 is 7 x 73

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(418, 198) = 3762

GCD(418, 198) = ( 418 x 198 ) / 3762

GCD(418, 198) = 82764 / 3762

GCD(418, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 374

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

LCM(22, 374) = 374

GCD(22, 374) = ( 22 x 374 ) / 374

GCD(22, 374) = 8228 / 374

GCD(22, 374) = 22

Step3:

Here we consider the GCD from the above i.e. 22 as first number and the next as 511

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

LCM(22, 511) = 11242

GCD(22, 511) = ( 22 x 511 ) / 11242

GCD(22, 511) = 11242 / 11242

GCD(22, 511) = 1

GCD of 418, 198, 374, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 381, 214, 148
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• GCD of 245, 732, 767, 662

1. What is the GCD of 418, 198, 374, 511?

GCD of 418, 198, 374, 511 is 1

2. Where do I get the detailed procedure to find GCD of 418, 198, 374, 511?

You can find a detailed procedure to find GCD of 418, 198, 374, 511 on our page.

3. How to find GCD of 418, 198, 374, 511 on a calculator?

You can find the GCD of 418, 198, 374, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.