GCD of 308, 109, 513, 198 Calculator

Given Input numbers are 308, 109, 513, 198

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

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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

Greatest Common Divisior

We found the divisors of 308, 109, 513, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 109, 513, 198 is 1.

Therefore, GCD of numbers 308, 109, 513, 198 is 1

Given Input Data is 308, 109, 513, 198

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

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

Prime Factorization of 109 is 109

Prime Factorization of 513 is 3 x 3 x 3 x 19

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

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(308, 109) = 33572

GCD(308, 109) = ( 308 x 109 ) / 33572

GCD(308, 109) = 33572 / 33572

GCD(308, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 308, 109, 513, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 820, 107, 951
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• GCD of 268, 737, 573, 880
• GCD of 794, 375, 150, 898
• GCD of 249, 443, 252, 250

1. What is the GCD of 308, 109, 513, 198?

GCD of 308, 109, 513, 198 is 1

2. Where do I get the detailed procedure to find GCD of 308, 109, 513, 198?

You can find a detailed procedure to find GCD of 308, 109, 513, 198 on our page.

3. How to find GCD of 308, 109, 513, 198 on a calculator?

You can find the GCD of 308, 109, 513, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.