GCD of 566, 198, 20, 175 Calculator

Given Input numbers are 566, 198, 20, 175

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 566, 198, 20, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 198, 20, 175 is 1.

Therefore, GCD of numbers 566, 198, 20, 175 is 1

Given Input Data is 566, 198, 20, 175

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

Prime Factorization of 566 is 2 x 283

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 175 is 5 x 5 x 7

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(566, 198) = 56034

GCD(566, 198) = ( 566 x 198 ) / 56034

GCD(566, 198) = 112068 / 56034

GCD(566, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 566, 198, 20, 175 is 1

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1. What is the GCD of 566, 198, 20, 175?

GCD of 566, 198, 20, 175 is 1

2. Where do I get the detailed procedure to find GCD of 566, 198, 20, 175?

You can find a detailed procedure to find GCD of 566, 198, 20, 175 on our page.

3. How to find GCD of 566, 198, 20, 175 on a calculator?

You can find the GCD of 566, 198, 20, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.