GCD of 105, 214, 15, 114 Calculator

Given Input numbers are 105, 214, 15, 114

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 105, 214, 15, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 214, 15, 114 is 1.

Therefore, GCD of numbers 105, 214, 15, 114 is 1

Given Input Data is 105, 214, 15, 114

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 214 is 2 x 107

Prime Factorization of 15 is 3 x 5

Prime Factorization of 114 is 2 x 3 x 19

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, 214) = 22470

GCD(105, 214) = ( 105 x 214 ) / 22470

GCD(105, 214) = 22470 / 22470

GCD(105, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 105, 214, 15, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 540, 71, 799
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• GCD of 475, 847, 83, 146

1. What is the GCD of 105, 214, 15, 114?

GCD of 105, 214, 15, 114 is 1

2. Where do I get the detailed procedure to find GCD of 105, 214, 15, 114?

You can find a detailed procedure to find GCD of 105, 214, 15, 114 on our page.

3. How to find GCD of 105, 214, 15, 114 on a calculator?

You can find the GCD of 105, 214, 15, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.