GCD of 370, 849, 14, 130 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 370, 849, 14, 130 i.e. 1 largest integer that divides all the numbers equally.

GCD of 370, 849, 14, 130 is 1

GCD(370, 849, 14, 130) = 1

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

GCD of

GCD of numbers 370, 849, 14, 130 is 1

GCD(370, 849, 14, 130) = 1

GCD of 370,849,14,130 Calculator

GCDof 370,849,14,130 is 1

Given Input numbers are 370, 849, 14, 130

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 14

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

1, 2, 7, 14

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 370, 849, 14, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 849, 14, 130 is 1.

Therefore, GCD of numbers 370, 849, 14, 130 is 1

Finding GCD of 370, 849, 14, 130 using Prime Factorization

Given Input Data is 370, 849, 14, 130

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 849 is 3 x 283

Prime Factorization of 14 is 2 x 7

Prime Factorization of 130 is 2 x 5 x 13

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

Finding GCD of 370, 849, 14, 130 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(370, 849) = 314130

GCD(370, 849) = ( 370 x 849 ) / 314130

GCD(370, 849) = 314130 / 314130

GCD(370, 849) = 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 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 370, 849, 14, 130 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 370, 849, 14, 130

1. What is the GCD of 370, 849, 14, 130?

GCD of 370, 849, 14, 130 is 1


2. Where do I get the detailed procedure to find GCD of 370, 849, 14, 130?

You can find a detailed procedure to find GCD of 370, 849, 14, 130 on our page.


3. How to find GCD of 370, 849, 14, 130 on a calculator?

You can find the GCD of 370, 849, 14, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.