Greatest Common Factor of 14/144, 1639/8361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/144, 1639/8361

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 14/144,1639/8361

Given fractions are 14/144,1639/8361

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 14,1639

Greatest Common Factor of Numerators i.e. GCF of 14,1639 is 1 .

LCM of Denominators means LCM of 144,8361 as per the given fractions.

LCM of 144,8361 is 133776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,1639

GCF of Fractions 14/144,1639/8361 is 1/133776

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 14,1639 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1639 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors 14,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1639 is 1.

Lets's calculate LCM of 144,8361

3 144, 8361
3 48, 2787
16, 929

∴ So the LCM of the given numbers is 3 x 3 x 16 x 929 = 133776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133776

Therefore, the GCF of Fractions 14/144,1639/8361 is 1/133776

Least Common Multiple of 144,8361 with GCF Formula

Least Common Multiple of 144,8361 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 144,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,8361) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(144,8361) x common factors =9 x 1 = 9

LCM(144,8361) = ( 144 × 8361 ) / 9

LCM(144,8361) = 1203984 / 9

LCM(144,8361) = 133776


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 14/144, 1639/8361

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 14/144, 1639/8361?

Answer: GCF of Numerators as per given numbers 14/144, 1639/8361 is

GCF of Numerators i.e. for 14,1639 is 1

LCM of denominators i.e. for 144,8361 is 133776.

Thus, GCF of Fractions is 1/133776.Finally, GCF of Fractions for 14/144, 1639/8361 is 1/133776.