GCD of 432, 198, 61, 218 Calculator

Given Input numbers are 432, 198, 61, 218

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 432, 198, 61, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 198, 61, 218 is 1.

Therefore, GCD of numbers 432, 198, 61, 218 is 1

Given Input Data is 432, 198, 61, 218

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 61 is 61

Prime Factorization of 218 is 2 x 109

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(432, 198) = 4752

GCD(432, 198) = ( 432 x 198 ) / 4752

GCD(432, 198) = 85536 / 4752

GCD(432, 198) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 61

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

LCM(18, 61) = 1098

GCD(18, 61) = ( 18 x 61 ) / 1098

GCD(18, 61) = 1098 / 1098

GCD(18, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 432, 198, 61, 218 is 1

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• GCD of 885, 548, 18, 656
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1. What is the GCD of 432, 198, 61, 218?

GCD of 432, 198, 61, 218 is 1

2. Where do I get the detailed procedure to find GCD of 432, 198, 61, 218?

You can find a detailed procedure to find GCD of 432, 198, 61, 218 on our page.

3. How to find GCD of 432, 198, 61, 218 on a calculator?

You can find the GCD of 432, 198, 61, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.