GCD of 198, 649, 225, 146 Calculator

Given Input numbers are 198, 649, 225, 146

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 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 198, 649, 225, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 649, 225, 146 is 1.

Therefore, GCD of numbers 198, 649, 225, 146 is 1

Given Input Data is 198, 649, 225, 146

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 649 is 11 x 59

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 146 is 2 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(198, 649) = 11682

GCD(198, 649) = ( 198 x 649 ) / 11682

GCD(198, 649) = 128502 / 11682

GCD(198, 649) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 225

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

LCM(11, 225) = 2475

GCD(11, 225) = ( 11 x 225 ) / 2475

GCD(11, 225) = 2475 / 2475

GCD(11, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 198, 649, 225, 146 is 1

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1. What is the GCD of 198, 649, 225, 146?

GCD of 198, 649, 225, 146 is 1

2. Where do I get the detailed procedure to find GCD of 198, 649, 225, 146?

You can find a detailed procedure to find GCD of 198, 649, 225, 146 on our page.

3. How to find GCD of 198, 649, 225, 146 on a calculator?

You can find the GCD of 198, 649, 225, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.