Greatest Common Factor of 6634/132, 7462/4887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6634/132, 7462/4887

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 6634/132,7462/4887

Given fractions are 6634/132,7462/4887

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 6634,7462

Greatest Common Factor of Numerators i.e. GCF of 6634,7462 is 2 .

LCM of Denominators means LCM of 132,4887 as per the given fractions.

LCM of 132,4887 is 215028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6634,7462

GCF of Fractions 6634/132,7462/4887 is 2/215028

2 6634, 7462
3317, 3731

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

Greatest Common Factor of 6634,7462 By Matching Biggest Common Factor Method

Greatest Common Factor of 6634,7462 By Matching Biggest Common Factor Method

Factors of 6634

List of positive integer factors of 6634 that divides 6634 without a remainder.

1,2,31,62,107,214,3317,6634

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors 6634,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 6634,7462 is 2.

Lets's calculate LCM of 132,4887

3 132, 4887
44, 1629

∴ So the LCM of the given numbers is 3 x 44 x 1629 = 215028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/215028

Therefore, the GCF of Fractions 6634/132,7462/4887 is 2/215028

Least Common Multiple of 132,4887 with GCF Formula

Least Common Multiple of 132,4887 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 132,4887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,4887) = 3

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

GCF(132,4887) x common factors =3 x 1 = 3

LCM(132,4887) = ( 132 × 4887 ) / 3

LCM(132,4887) = 645084 / 3

LCM(132,4887) = 215028


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 6634/132, 7462/4887

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 6634/132, 7462/4887?

Answer: GCF of Numerators as per given numbers 6634/132, 7462/4887 is

GCF of Numerators i.e. for 6634,7462 is 2

LCM of denominators i.e. for 132,4887 is 215028.

Thus, GCF of Fractions is 2/215028.Finally, GCF of Fractions for 6634/132, 7462/4887 is 2/215028.