GCD of 106, 513, 193, 367 Calculator

Given Input numbers are 106, 513, 193, 367

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

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 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 106, 513, 193, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 513, 193, 367 is 1.

Therefore, GCD of numbers 106, 513, 193, 367 is 1

Given Input Data is 106, 513, 193, 367

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

Prime Factorization of 106 is 2 x 53

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

Prime Factorization of 193 is 193

Prime Factorization of 367 is 367

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(106, 513) = 54378

GCD(106, 513) = ( 106 x 513 ) / 54378

GCD(106, 513) = 54378 / 54378

GCD(106, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 106, 513, 193, 367 is 1

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1. What is the GCD of 106, 513, 193, 367?

GCD of 106, 513, 193, 367 is 1

2. Where do I get the detailed procedure to find GCD of 106, 513, 193, 367?

You can find a detailed procedure to find GCD of 106, 513, 193, 367 on our page.

3. How to find GCD of 106, 513, 193, 367 on a calculator?

You can find the GCD of 106, 513, 193, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.