Greatest Common Factor of 8304/871, 9845/7734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8304/871, 9845/7734

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 8304/871,9845/7734

Given fractions are 8304/871,9845/7734

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 8304,9845

Greatest Common Factor of Numerators i.e. GCF of 8304,9845 is 1 .

LCM of Denominators means LCM of 871,7734 as per the given fractions.

LCM of 871,7734 is 6736314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8304,9845

GCF of Fractions 8304/871,9845/7734 is 1/6736314

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

Greatest Common Factor of 8304,9845 By Matching Biggest Common Factor Method

Greatest Common Factor of 8304,9845 By Matching Biggest Common Factor Method

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Factors of 9845

List of positive integer factors of 9845 that divides 9845 without a remainder.

1,5,11,55,179,895,1969,9845

Greatest Common Factor

We found the factors 8304,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 8304,9845 is 1.

Lets's calculate LCM of 871,7734

Given numbers has no common factors except 1. So, there LCM is their product i.e 6736314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6736314

Therefore, the GCF of Fractions 8304/871,9845/7734 is 1/6736314

Least Common Multiple of 871,7734 with GCF Formula

Least Common Multiple of 871,7734 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 871,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,7734) = 1

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

GCF(871,7734) x common factors =1 x 1 = 1

LCM(871,7734) = ( 871 × 7734 ) / 1

LCM(871,7734) = 6736314 / 1

LCM(871,7734) = 6736314


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 8304/871, 9845/7734

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 8304/871, 9845/7734?

Answer: GCF of Numerators as per given numbers 8304/871, 9845/7734 is

GCF of Numerators i.e. for 8304,9845 is 1

LCM of denominators i.e. for 871,7734 is 6736314.

Thus, GCF of Fractions is 1/6736314.Finally, GCF of Fractions for 8304/871, 9845/7734 is 1/6736314.