GCD of 251, 286, 14, 375 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 251, 286, 14, 375 i.e. 1 largest integer that divides all the numbers equally.

GCD of 251, 286, 14, 375 is 1

GCD(251, 286, 14, 375) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 251, 286, 14, 375 is 1

GCD(251, 286, 14, 375) = 1

GCD of 251,286,14,375 Calculator

GCDof 251,286,14,375 is 1

Given Input numbers are 251, 286, 14, 375

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 14

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

1, 2, 7, 14

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 251, 286, 14, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 286, 14, 375 is 1.

Therefore, GCD of numbers 251, 286, 14, 375 is 1

Finding GCD of 251, 286, 14, 375 using Prime Factorization

Given Input Data is 251, 286, 14, 375

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

Prime Factorization of 251 is 251

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 14 is 2 x 7

Prime Factorization of 375 is 3 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 251, 286, 14, 375 using LCM Formula

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(251, 286) = 71786

GCD(251, 286) = ( 251 x 286 ) / 71786

GCD(251, 286) = 71786 / 71786

GCD(251, 286) = 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 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 251, 286, 14, 375 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 251, 286, 14, 375

1. What is the GCD of 251, 286, 14, 375?

GCD of 251, 286, 14, 375 is 1


2. Where do I get the detailed procedure to find GCD of 251, 286, 14, 375?

You can find a detailed procedure to find GCD of 251, 286, 14, 375 on our page.


3. How to find GCD of 251, 286, 14, 375 on a calculator?

You can find the GCD of 251, 286, 14, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.