GCD of 198, 175, 72 Calculator

Given Input numbers are 198, 175, 72

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 175

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

1, 5, 7, 25, 35, 175

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 198, 175, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 175, 72 is 1.

Therefore, GCD of numbers 198, 175, 72 is 1

Given Input Data is 198, 175, 72

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 175 is 5 x 5 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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, 175) = 34650

GCD(198, 175) = ( 198 x 175 ) / 34650

GCD(198, 175) = 34650 / 34650

GCD(198, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 198, 175, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 262, 54
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• GCD of 430, 559, 49
• GCD of 403, 401, 34

1. What is the GCD of 198, 175, 72?

GCD of 198, 175, 72 is 1

2. Where do I get the detailed procedure to find GCD of 198, 175, 72?

You can find a detailed procedure to find GCD of 198, 175, 72 on our page.

3. How to find GCD of 198, 175, 72 on a calculator?

You can find the GCD of 198, 175, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.