Greatest Common Factor of 1307/305, 5648/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1307/305, 5648/686

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 1307/305,5648/686

Given fractions are 1307/305,5648/686

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 1307,5648

Greatest Common Factor of Numerators i.e. GCF of 1307,5648 is 1 .

LCM of Denominators means LCM of 305,686 as per the given fractions.

LCM of 305,686 is 209230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1307,5648

GCF of Fractions 1307/305,5648/686 is 1/209230

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

Greatest Common Factor of 1307,5648 By Matching Biggest Common Factor Method

Greatest Common Factor of 1307,5648 By Matching Biggest Common Factor Method

Factors of 1307

List of positive integer factors of 1307 that divides 1307 without a remainder.

1,1307

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 1307,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 1307,5648 is 1.

Lets's calculate LCM of 305,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 209230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209230

Therefore, the GCF of Fractions 1307/305,5648/686 is 1/209230

Least Common Multiple of 305,686 with GCF Formula

Least Common Multiple of 305,686 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 305,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,686) = 1

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

GCF(305,686) x common factors =1 x 1 = 1

LCM(305,686) = ( 305 × 686 ) / 1

LCM(305,686) = 209230 / 1

LCM(305,686) = 209230


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 1307/305, 5648/686

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 1307/305, 5648/686?

Answer: GCF of Numerators as per given numbers 1307/305, 5648/686 is

GCF of Numerators i.e. for 1307,5648 is 1

LCM of denominators i.e. for 305,686 is 209230.

Thus, GCF of Fractions is 1/209230.Finally, GCF of Fractions for 1307/305, 5648/686 is 1/209230.