Greatest Common Factor of 4986/691, 3930/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4986/691, 3930/884

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 4986/691,3930/884

Given fractions are 4986/691,3930/884

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 4986,3930

Greatest Common Factor of Numerators i.e. GCF of 4986,3930 is 6 .

LCM of Denominators means LCM of 691,884 as per the given fractions.

LCM of 691,884 is 610844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4986,3930

GCF of Fractions 4986/691,3930/884 is 6/610844

2 4986, 3930
3 2493, 1965
831, 655

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4986,3930 By Matching Biggest Common Factor Method

Greatest Common Factor of 4986,3930 By Matching Biggest Common Factor Method

Factors of 4986

List of positive integer factors of 4986 that divides 4986 without a remainder.

1,2,3,6,9,18,277,554,831,1662,2493,4986

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930

Greatest Common Factor

We found the factors 4986,3930 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,3930 is 6.

Lets's calculate LCM of 691,884

Given numbers has no common factors except 1. So, there LCM is their product i.e 610844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/610844

Therefore, the GCF of Fractions 4986/691,3930/884 is 6/610844

Least Common Multiple of 691,884 with GCF Formula

Least Common Multiple of 691,884 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 691,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,884) = 1

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

GCF(691,884) x common factors =1 x 1 = 1

LCM(691,884) = ( 691 × 884 ) / 1

LCM(691,884) = 610844 / 1

LCM(691,884) = 610844


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 4986/691, 3930/884

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 4986/691, 3930/884?

Answer: GCF of Numerators as per given numbers 4986/691, 3930/884 is

GCF of Numerators i.e. for 4986,3930 is 6

LCM of denominators i.e. for 691,884 is 610844.

Thus, GCF of Fractions is 6/610844.Finally, GCF of Fractions for 4986/691, 3930/884 is 6/610844.