GCD of 19, 308, 470, 658 Calculator

Given Input numbers are 19, 308, 470, 658

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 19, 308, 470, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 308, 470, 658 is 1.

Therefore, GCD of numbers 19, 308, 470, 658 is 1

Given Input Data is 19, 308, 470, 658

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

Prime Factorization of 19 is 19

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 658 is 2 x 7 x 47

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(19, 308) = 5852

GCD(19, 308) = ( 19 x 308 ) / 5852

GCD(19, 308) = 5852 / 5852

GCD(19, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 19, 308, 470, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 517, 993, 918
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• GCD of 78, 422, 937, 885

1. What is the GCD of 19, 308, 470, 658?

GCD of 19, 308, 470, 658 is 1

2. Where do I get the detailed procedure to find GCD of 19, 308, 470, 658?

You can find a detailed procedure to find GCD of 19, 308, 470, 658 on our page.

3. How to find GCD of 19, 308, 470, 658 on a calculator?

You can find the GCD of 19, 308, 470, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.