Greatest Common Factor of 7876/16, 8282/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7876/16, 8282/387

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 7876/16,8282/387

Given fractions are 7876/16,8282/387

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 7876,8282

Greatest Common Factor of Numerators i.e. GCF of 7876,8282 is 2 .

LCM of Denominators means LCM of 16,387 as per the given fractions.

LCM of 16,387 is 6192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7876,8282

GCF of Fractions 7876/16,8282/387 is 2/6192

2 7876, 8282
3938, 4141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7876,8282 By Matching Biggest Common Factor Method

Greatest Common Factor of 7876,8282 By Matching Biggest Common Factor Method

Factors of 7876

List of positive integer factors of 7876 that divides 7876 without a remainder.

1,2,4,11,22,44,179,358,716,1969,3938,7876

Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 7876,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 7876,8282 is 2.

Lets's calculate LCM of 16,387

Given numbers has no common factors except 1. So, there LCM is their product i.e 6192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6192

Therefore, the GCF of Fractions 7876/16,8282/387 is 2/6192

Least Common Multiple of 16,387 with GCF Formula

Least Common Multiple of 16,387 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 16,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,387) = 1

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

GCF(16,387) x common factors =1 x 1 = 1

LCM(16,387) = ( 16 × 387 ) / 1

LCM(16,387) = 6192 / 1

LCM(16,387) = 6192


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 7876/16, 8282/387

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 7876/16, 8282/387?

Answer: GCF of Numerators as per given numbers 7876/16, 8282/387 is

GCF of Numerators i.e. for 7876,8282 is 2

LCM of denominators i.e. for 16,387 is 6192.

Thus, GCF of Fractions is 2/6192.Finally, GCF of Fractions for 7876/16, 8282/387 is 2/6192.