Greatest Common Factor of 7986/44, 3860/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7986/44, 3860/494

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 7986/44,3860/494

Given fractions are 7986/44,3860/494

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 7986,3860

Greatest Common Factor of Numerators i.e. GCF of 7986,3860 is 2 .

LCM of Denominators means LCM of 44,494 as per the given fractions.

LCM of 44,494 is 10868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7986,3860

GCF of Fractions 7986/44,3860/494 is 2/10868

2 7986, 3860
3993, 1930

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

Greatest Common Factor of 7986,3860 By Matching Biggest Common Factor Method

Greatest Common Factor of 7986,3860 By Matching Biggest Common Factor Method

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986

Factors of 3860

List of positive integer factors of 3860 that divides 3860 without a remainder.

1,2,4,5,10,20,193,386,772,965,1930,3860

Greatest Common Factor

We found the factors 7986,3860 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,3860 is 2.

Lets's calculate LCM of 44,494

2 44, 494
22, 247

∴ So the LCM of the given numbers is 2 x 22 x 247 = 10868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10868

Therefore, the GCF of Fractions 7986/44,3860/494 is 2/10868

Least Common Multiple of 44,494 with GCF Formula

Least Common Multiple of 44,494 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 44,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,494) = 2

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

GCF(44,494) x common factors =2 x 1 = 2

LCM(44,494) = ( 44 × 494 ) / 2

LCM(44,494) = 21736 / 2

LCM(44,494) = 10868


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 7986/44, 3860/494

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 7986/44, 3860/494?

Answer: GCF of Numerators as per given numbers 7986/44, 3860/494 is

GCF of Numerators i.e. for 7986,3860 is 2

LCM of denominators i.e. for 44,494 is 10868.

Thus, GCF of Fractions is 2/10868.Finally, GCF of Fractions for 7986/44, 3860/494 is 2/10868.