Greatest Common Factor of 6748/496, 7791/8819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6748/496, 7791/8819

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 6748/496,7791/8819

Given fractions are 6748/496,7791/8819

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 6748,7791

Greatest Common Factor of Numerators i.e. GCF of 6748,7791 is 7 .

LCM of Denominators means LCM of 496,8819 as per the given fractions.

LCM of 496,8819 is 4374224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6748,7791

GCF of Fractions 6748/496,7791/8819 is 7/4374224

7 6748, 7791
964, 1113

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6748,7791 By Matching Biggest Common Factor Method

Greatest Common Factor of 6748,7791 By Matching Biggest Common Factor Method

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Factors of 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Greatest Common Factor

We found the factors 6748,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 6748,7791 is 7.

Lets's calculate LCM of 496,8819

Given numbers has no common factors except 1. So, there LCM is their product i.e 4374224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4374224

Therefore, the GCF of Fractions 6748/496,7791/8819 is 7/4374224

Least Common Multiple of 496,8819 with GCF Formula

Least Common Multiple of 496,8819 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 496,8819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,8819) = 1

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

GCF(496,8819) x common factors =1 x 1 = 1

LCM(496,8819) = ( 496 × 8819 ) / 1

LCM(496,8819) = 4374224 / 1

LCM(496,8819) = 4374224


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 6748/496, 7791/8819

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 6748/496, 7791/8819?

Answer: GCF of Numerators as per given numbers 6748/496, 7791/8819 is

GCF of Numerators i.e. for 6748,7791 is 7

LCM of denominators i.e. for 496,8819 is 4374224.

Thus, GCF of Fractions is 7/4374224.Finally, GCF of Fractions for 6748/496, 7791/8819 is 7/4374224.