Greatest Common Factor of 8884/399, 2344/9634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8884/399, 2344/9634

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 8884/399,2344/9634

Given fractions are 8884/399,2344/9634

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 8884,2344

Greatest Common Factor of Numerators i.e. GCF of 8884,2344 is 4 .

LCM of Denominators means LCM of 399,9634 as per the given fractions.

LCM of 399,9634 is 3843966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8884,2344

GCF of Fractions 8884/399,2344/9634 is 4/3843966

2 8884, 2344
2 4442, 1172
2221, 586

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8884,2344 By Matching Biggest Common Factor Method

Greatest Common Factor of 8884,2344 By Matching Biggest Common Factor Method

Factors of 8884

List of positive integer factors of 8884 that divides 8884 without a remainder.

1,2,4,2221,4442,8884

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

Greatest Common Factor

We found the factors 8884,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 8884,2344 is 4.

Lets's calculate LCM of 399,9634

Given numbers has no common factors except 1. So, there LCM is their product i.e 3843966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3843966

Therefore, the GCF of Fractions 8884/399,2344/9634 is 4/3843966

Least Common Multiple of 399,9634 with GCF Formula

Least Common Multiple of 399,9634 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 399,9634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,9634) = 1

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

GCF(399,9634) x common factors =1 x 1 = 1

LCM(399,9634) = ( 399 × 9634 ) / 1

LCM(399,9634) = 3843966 / 1

LCM(399,9634) = 3843966


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 8884/399, 2344/9634

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 8884/399, 2344/9634?

Answer: GCF of Numerators as per given numbers 8884/399, 2344/9634 is

GCF of Numerators i.e. for 8884,2344 is 4

LCM of denominators i.e. for 399,9634 is 3843966.

Thus, GCF of Fractions is 4/3843966.Finally, GCF of Fractions for 8884/399, 2344/9634 is 4/3843966.