GCD of 198, 200, 145, 178 Calculator

Given Input numbers are 198, 200, 145, 178

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 198, 200, 145, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 200, 145, 178 is 1.

Therefore, GCD of numbers 198, 200, 145, 178 is 1

Given Input Data is 198, 200, 145, 178

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 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 145 is 5 x 29

Prime Factorization of 178 is 2 x 89

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, 200) = 19800

GCD(198, 200) = ( 198 x 200 ) / 19800

GCD(198, 200) = 39600 / 19800

GCD(198, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 198, 200, 145, 178 is 1

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1. What is the GCD of 198, 200, 145, 178?

GCD of 198, 200, 145, 178 is 1

2. Where do I get the detailed procedure to find GCD of 198, 200, 145, 178?

You can find a detailed procedure to find GCD of 198, 200, 145, 178 on our page.

3. How to find GCD of 198, 200, 145, 178 on a calculator?

You can find the GCD of 198, 200, 145, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.