GCD of 105, 955, 14, 183 Calculator

Given Input numbers are 105, 955, 14, 183

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 105, 955, 14, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 955, 14, 183 is 1.

Therefore, GCD of numbers 105, 955, 14, 183 is 1

Given Input Data is 105, 955, 14, 183

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 955 is 5 x 191

Prime Factorization of 14 is 2 x 7

Prime Factorization of 183 is 3 x 61

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(105, 955) = 20055

GCD(105, 955) = ( 105 x 955 ) / 20055

GCD(105, 955) = 100275 / 20055

GCD(105, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 14

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

LCM(5, 14) = 70

GCD(5, 14) = ( 5 x 14 ) / 70

GCD(5, 14) = 70 / 70

GCD(5, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 183

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

LCM(1, 183) = 183

GCD(1, 183) = ( 1 x 183 ) / 183

GCD(1, 183) = 183 / 183

GCD(1, 183) = 1

GCD of 105, 955, 14, 183 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 449, 82, 234
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• GCD of 944, 808, 70, 901

1. What is the GCD of 105, 955, 14, 183?

GCD of 105, 955, 14, 183 is 1

2. Where do I get the detailed procedure to find GCD of 105, 955, 14, 183?

You can find a detailed procedure to find GCD of 105, 955, 14, 183 on our page.

3. How to find GCD of 105, 955, 14, 183 on a calculator?

You can find the GCD of 105, 955, 14, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.