GCD of 314, 165, 14, 903 Calculator

Given Input numbers are 314, 165, 14, 903

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 14

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

1, 2, 7, 14

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 314, 165, 14, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 165, 14, 903 is 1.

Therefore, GCD of numbers 314, 165, 14, 903 is 1

Given Input Data is 314, 165, 14, 903

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 14 is 2 x 7

Prime Factorization of 903 is 3 x 7 x 43

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(314, 165) = 51810

GCD(314, 165) = ( 314 x 165 ) / 51810

GCD(314, 165) = 51810 / 51810

GCD(314, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 903

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

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

GCD(1, 903) = 903 / 903

GCD(1, 903) = 1

GCD of 314, 165, 14, 903 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 372, 38, 896
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• GCD of 428, 508, 82, 260
• GCD of 714, 516, 27, 751
• GCD of 714, 448, 58, 665

1. What is the GCD of 314, 165, 14, 903?

GCD of 314, 165, 14, 903 is 1

2. Where do I get the detailed procedure to find GCD of 314, 165, 14, 903?

You can find a detailed procedure to find GCD of 314, 165, 14, 903 on our page.

3. How to find GCD of 314, 165, 14, 903 on a calculator?

You can find the GCD of 314, 165, 14, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.