Greatest Common Factor of 6899/380, 7856/7178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6899/380, 7856/7178

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 6899/380,7856/7178

Given fractions are 6899/380,7856/7178

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 6899,7856

Greatest Common Factor of Numerators i.e. GCF of 6899,7856 is 1 .

LCM of Denominators means LCM of 380,7178 as per the given fractions.

LCM of 380,7178 is 1363820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6899,7856

GCF of Fractions 6899/380,7856/7178 is 1/1363820

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

Greatest Common Factor of 6899,7856 By Matching Biggest Common Factor Method

Greatest Common Factor of 6899,7856 By Matching Biggest Common Factor Method

Factors of 6899

List of positive integer factors of 6899 that divides 6899 without a remainder.

1,6899

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Greatest Common Factor

We found the factors 6899,7856 . The biggest common factor number is the GCF number.
So the greatest common factor 6899,7856 is 1.

Lets's calculate LCM of 380,7178

2 380, 7178
190, 3589

∴ So the LCM of the given numbers is 2 x 190 x 3589 = 1363820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1363820

Therefore, the GCF of Fractions 6899/380,7856/7178 is 1/1363820

Least Common Multiple of 380,7178 with GCF Formula

Least Common Multiple of 380,7178 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 380,7178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,7178) = 2

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

GCF(380,7178) x common factors =2 x 1 = 2

LCM(380,7178) = ( 380 × 7178 ) / 2

LCM(380,7178) = 2727640 / 2

LCM(380,7178) = 1363820


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 6899/380, 7856/7178

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 6899/380, 7856/7178?

Answer: GCF of Numerators as per given numbers 6899/380, 7856/7178 is

GCF of Numerators i.e. for 6899,7856 is 1

LCM of denominators i.e. for 380,7178 is 1363820.

Thus, GCF of Fractions is 1/1363820.Finally, GCF of Fractions for 6899/380, 7856/7178 is 1/1363820.