GCD of 198, 878, 147, 335 Calculator

Given Input numbers are 198, 878, 147, 335

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 198, 878, 147, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 878, 147, 335 is 1.

Therefore, GCD of numbers 198, 878, 147, 335 is 1

Given Input Data is 198, 878, 147, 335

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 878 is 2 x 439

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 335 is 5 x 67

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, 878) = 86922

GCD(198, 878) = ( 198 x 878 ) / 86922

GCD(198, 878) = 173844 / 86922

GCD(198, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 198, 878, 147, 335 is 1

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1. What is the GCD of 198, 878, 147, 335?

GCD of 198, 878, 147, 335 is 1

2. Where do I get the detailed procedure to find GCD of 198, 878, 147, 335?

You can find a detailed procedure to find GCD of 198, 878, 147, 335 on our page.

3. How to find GCD of 198, 878, 147, 335 on a calculator?

You can find the GCD of 198, 878, 147, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.