Greatest Common Factor of 8876/399, 4742/9105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8876/399, 4742/9105

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 8876/399,4742/9105

Given fractions are 8876/399,4742/9105

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 8876,4742

Greatest Common Factor of Numerators i.e. GCF of 8876,4742 is 2 .

LCM of Denominators means LCM of 399,9105 as per the given fractions.

LCM of 399,9105 is 1210965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8876,4742

GCF of Fractions 8876/399,4742/9105 is 2/1210965

2 8876, 4742
4438, 2371

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

Greatest Common Factor of 8876,4742 By Matching Biggest Common Factor Method

Greatest Common Factor of 8876,4742 By Matching Biggest Common Factor Method

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors 8876,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,4742 is 2.

Lets's calculate LCM of 399,9105

3 399, 9105
133, 3035

∴ So the LCM of the given numbers is 3 x 133 x 3035 = 1210965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1210965

Therefore, the GCF of Fractions 8876/399,4742/9105 is 2/1210965

Least Common Multiple of 399,9105 with GCF Formula

Least Common Multiple of 399,9105 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 399,9105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,9105) = 3

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

GCF(399,9105) x common factors =3 x 1 = 3

LCM(399,9105) = ( 399 × 9105 ) / 3

LCM(399,9105) = 3632895 / 3

LCM(399,9105) = 1210965


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 8876/399, 4742/9105

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 8876/399, 4742/9105?

Answer: GCF of Numerators as per given numbers 8876/399, 4742/9105 is

GCF of Numerators i.e. for 8876,4742 is 2

LCM of denominators i.e. for 399,9105 is 1210965.

Thus, GCF of Fractions is 2/1210965.Finally, GCF of Fractions for 8876/399, 4742/9105 is 2/1210965.