Greatest Common Factor of 6418/809, 7303/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6418/809, 7303/345

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 6418/809,7303/345

Given fractions are 6418/809,7303/345

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 6418,7303

Greatest Common Factor of Numerators i.e. GCF of 6418,7303 is 1 .

LCM of Denominators means LCM of 809,345 as per the given fractions.

LCM of 809,345 is 279105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6418,7303

GCF of Fractions 6418/809,7303/345 is 1/279105

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

Greatest Common Factor of 6418,7303 By Matching Biggest Common Factor Method

Greatest Common Factor of 6418,7303 By Matching Biggest Common Factor Method

Factors of 6418

List of positive integer factors of 6418 that divides 6418 without a remainder.

1,2,3209,6418

Factors of 7303

List of positive integer factors of 7303 that divides 7303 without a remainder.

1,67,109,7303

Greatest Common Factor

We found the factors 6418,7303 . The biggest common factor number is the GCF number.
So the greatest common factor 6418,7303 is 1.

Lets's calculate LCM of 809,345

Given numbers has no common factors except 1. So, there LCM is their product i.e 279105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279105

Therefore, the GCF of Fractions 6418/809,7303/345 is 1/279105

Least Common Multiple of 809,345 with GCF Formula

Least Common Multiple of 809,345 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 809,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,345) = 1

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

GCF(809,345) x common factors =1 x 1 = 1

LCM(809,345) = ( 809 × 345 ) / 1

LCM(809,345) = 279105 / 1

LCM(809,345) = 279105


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 6418/809, 7303/345

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 6418/809, 7303/345?

Answer: GCF of Numerators as per given numbers 6418/809, 7303/345 is

GCF of Numerators i.e. for 6418,7303 is 1

LCM of denominators i.e. for 809,345 is 279105.

Thus, GCF of Fractions is 1/279105.Finally, GCF of Fractions for 6418/809, 7303/345 is 1/279105.