GCD of 95, 348, 144, 518 Calculator

Given Input numbers are 95, 348, 144, 518

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

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 95, 348, 144, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 348, 144, 518 is 1.

Therefore, GCD of numbers 95, 348, 144, 518 is 1

Given Input Data is 95, 348, 144, 518

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 518 is 2 x 7 x 37

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(95, 348) = 33060

GCD(95, 348) = ( 95 x 348 ) / 33060

GCD(95, 348) = 33060 / 33060

GCD(95, 348) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 95, 348, 144, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 191, 699, 510
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1. What is the GCD of 95, 348, 144, 518?

GCD of 95, 348, 144, 518 is 1

2. Where do I get the detailed procedure to find GCD of 95, 348, 144, 518?

You can find a detailed procedure to find GCD of 95, 348, 144, 518 on our page.

3. How to find GCD of 95, 348, 144, 518 on a calculator?

You can find the GCD of 95, 348, 144, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.