GCD of 198, 582, 626, 147 Calculator

Given Input numbers are 198, 582, 626, 147

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 147

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

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 198, 582, 626, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 582, 626, 147 is 1.

Therefore, GCD of numbers 198, 582, 626, 147 is 1

Given Input Data is 198, 582, 626, 147

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 582 is 2 x 3 x 97

Prime Factorization of 626 is 2 x 313

Prime Factorization of 147 is 3 x 7 x 7

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, 582) = 19206

GCD(198, 582) = ( 198 x 582 ) / 19206

GCD(198, 582) = 115236 / 19206

GCD(198, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 626

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

LCM(6, 626) = 1878

GCD(6, 626) = ( 6 x 626 ) / 1878

GCD(6, 626) = 3756 / 1878

GCD(6, 626) = 2

Step3:

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

GCD of 198, 582, 626, 147 is 1

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• GCD of 931, 307, 362, 419
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1. What is the GCD of 198, 582, 626, 147?

GCD of 198, 582, 626, 147 is 1

2. Where do I get the detailed procedure to find GCD of 198, 582, 626, 147?

You can find a detailed procedure to find GCD of 198, 582, 626, 147 on our page.

3. How to find GCD of 198, 582, 626, 147 on a calculator?

You can find the GCD of 198, 582, 626, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.