GCD of 394, 198, 147, 152 Calculator

Given Input numbers are 394, 198, 147, 152

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 147

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

1, 3, 7, 21, 49, 147

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 394, 198, 147, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 198, 147, 152 is 1.

Therefore, GCD of numbers 394, 198, 147, 152 is 1

Given Input Data is 394, 198, 147, 152

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

Prime Factorization of 394 is 2 x 197

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(394, 198) = 39006

GCD(394, 198) = ( 394 x 198 ) / 39006

GCD(394, 198) = 78012 / 39006

GCD(394, 198) = 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 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 394, 198, 147, 152 is 1

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1. What is the GCD of 394, 198, 147, 152?

GCD of 394, 198, 147, 152 is 1

2. Where do I get the detailed procedure to find GCD of 394, 198, 147, 152?

You can find a detailed procedure to find GCD of 394, 198, 147, 152 on our page.

3. How to find GCD of 394, 198, 147, 152 on a calculator?

You can find the GCD of 394, 198, 147, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.