GCD of 48, 195, 371, 517 Calculator

Given Input numbers are 48, 195, 371, 517

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 48, 195, 371, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 195, 371, 517 is 1.

Therefore, GCD of numbers 48, 195, 371, 517 is 1

Given Input Data is 48, 195, 371, 517

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 371 is 7 x 53

Prime Factorization of 517 is 11 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(48, 195) = 3120

GCD(48, 195) = ( 48 x 195 ) / 3120

GCD(48, 195) = 9360 / 3120

GCD(48, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 371

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

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

GCD(3, 371) = 1113 / 1113

GCD(3, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 48, 195, 371, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 182, 615, 515
• GCD of 40, 454, 106, 587
• GCD of 53, 230, 634, 930
• GCD of 42, 282, 912, 100
• GCD of 33, 211, 489, 347

1. What is the GCD of 48, 195, 371, 517?

GCD of 48, 195, 371, 517 is 1

2. Where do I get the detailed procedure to find GCD of 48, 195, 371, 517?

You can find a detailed procedure to find GCD of 48, 195, 371, 517 on our page.

3. How to find GCD of 48, 195, 371, 517 on a calculator?

You can find the GCD of 48, 195, 371, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.