Greatest Common Factor of 6705/47, 2847/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6705/47, 2847/882

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 6705/47,2847/882

Given fractions are 6705/47,2847/882

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 6705,2847

Greatest Common Factor of Numerators i.e. GCF of 6705,2847 is 3 .

LCM of Denominators means LCM of 47,882 as per the given fractions.

LCM of 47,882 is 41454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6705,2847

GCF of Fractions 6705/47,2847/882 is 3/41454

3 6705, 2847
2235, 949

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6705,2847 By Matching Biggest Common Factor Method

Greatest Common Factor of 6705,2847 By Matching Biggest Common Factor Method

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Factors of 2847

List of positive integer factors of 2847 that divides 2847 without a remainder.

1,3,13,39,73,219,949,2847

Greatest Common Factor

We found the factors 6705,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 6705,2847 is 3.

Lets's calculate LCM of 47,882

Given numbers has no common factors except 1. So, there LCM is their product i.e 41454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41454

Therefore, the GCF of Fractions 6705/47,2847/882 is 3/41454

Least Common Multiple of 47,882 with GCF Formula

Least Common Multiple of 47,882 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 47,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,882) = 1

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

GCF(47,882) x common factors =1 x 1 = 1

LCM(47,882) = ( 47 × 882 ) / 1

LCM(47,882) = 41454 / 1

LCM(47,882) = 41454


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 6705/47, 2847/882

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 6705/47, 2847/882?

Answer: GCF of Numerators as per given numbers 6705/47, 2847/882 is

GCF of Numerators i.e. for 6705,2847 is 3

LCM of denominators i.e. for 47,882 is 41454.

Thus, GCF of Fractions is 3/41454.Finally, GCF of Fractions for 6705/47, 2847/882 is 3/41454.