Greatest Common Factor of 718/30, 109/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 718/30, 109/314

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 718/30,109/314

Given fractions are 718/30,109/314

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 718,109

Greatest Common Factor of Numerators i.e. GCF of 718,109 is 1 .

LCM of Denominators means LCM of 30,314 as per the given fractions.

LCM of 30,314 is 4710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 718,109

GCF of Fractions 718/30,109/314 is 1/4710

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

Greatest Common Factor of 718,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,109 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 718,109 . The biggest common factor number is the GCF number.
So the greatest common factor 718,109 is 1.

Lets's calculate LCM of 30,314

2 30, 314
15, 157

∴ So the LCM of the given numbers is 2 x 15 x 157 = 4710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4710

Therefore, the GCF of Fractions 718/30,109/314 is 1/4710

Least Common Multiple of 30,314 with GCF Formula

Least Common Multiple of 30,314 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 30,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,314) = 2

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

GCF(30,314) x common factors =2 x 1 = 2

LCM(30,314) = ( 30 × 314 ) / 2

LCM(30,314) = 9420 / 2

LCM(30,314) = 4710


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 718/30, 109/314

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 718/30, 109/314?

Answer: GCF of Numerators as per given numbers 718/30, 109/314 is

GCF of Numerators i.e. for 718,109 is 1

LCM of denominators i.e. for 30,314 is 4710.

Thus, GCF of Fractions is 1/4710.Finally, GCF of Fractions for 718/30, 109/314 is 1/4710.