Greatest Common Factor of 14/648, 31/397, 789/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/648, 31/397, 789/443

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 14/648,31/397,789/443

Given fractions are 14/648,31/397,789/443

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 14,31,789

Greatest Common Factor of Numerators i.e. GCF of 14,31,789 is 1 .

LCM of Denominators means LCM of 648,397,443 as per the given fractions.

LCM of 648,397,443 is 113964408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,31,789

GCF of Fractions 14/648,31/397,789/443 is 1/113964408

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

Greatest Common Factor of 14,31,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,31,789 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 14,31,789 . The biggest common factor number is the GCF number.
So the greatest common factor 14,31,789 is 1.

Lets's calculate LCM of 648,397,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 113964408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113964408

Therefore, the GCF of Fractions 14/648,31/397,789/443 is 1/113964408

Least Common Multiple of 648,397,443 with GCF Formula

Least Common Multiple of 648,397,443 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 648,397,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,397,443) = 1

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

GCF(648,397,443) x common factors =1 x 1 = 1

LCM(648,397,443) = ( 648 × 397 × 443 ) / 1

LCM(648,397,443) = 113964408 / 1

LCM(648,397,443) = 113964408


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 14/648, 31/397, 789/443

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 14/648, 31/397, 789/443?

Answer: GCF of Numerators as per given numbers 14/648, 31/397, 789/443 is

GCF of Numerators i.e. for 14,31,789 is 1

LCM of denominators i.e. for 648,397,443 is 113964408.

Thus, GCF of Fractions is 1/113964408.Finally, GCF of Fractions for 14/648, 31/397, 789/443 is 1/113964408.