Greatest Common Factor of 5043/234, 5424/9219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5043/234, 5424/9219

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 5043/234,5424/9219

Given fractions are 5043/234,5424/9219

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 5043,5424

Greatest Common Factor of Numerators i.e. GCF of 5043,5424 is 3 .

LCM of Denominators means LCM of 234,9219 as per the given fractions.

LCM of 234,9219 is 719082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5043,5424

GCF of Fractions 5043/234,5424/9219 is 3/719082

3 5043, 5424
1681, 1808

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5043,5424 By Matching Biggest Common Factor Method

Greatest Common Factor of 5043,5424 By Matching Biggest Common Factor Method

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1,3,41,123,1681,5043

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Greatest Common Factor

We found the factors 5043,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 5043,5424 is 3.

Lets's calculate LCM of 234,9219

3 234, 9219
78, 3073

∴ So the LCM of the given numbers is 3 x 78 x 3073 = 719082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/719082

Therefore, the GCF of Fractions 5043/234,5424/9219 is 3/719082

Least Common Multiple of 234,9219 with GCF Formula

Least Common Multiple of 234,9219 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 234,9219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,9219) = 3

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

GCF(234,9219) x common factors =3 x 1 = 3

LCM(234,9219) = ( 234 × 9219 ) / 3

LCM(234,9219) = 2157246 / 3

LCM(234,9219) = 719082


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5043/234, 5424/9219

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 5043/234, 5424/9219?

Answer: GCF of Numerators as per given numbers 5043/234, 5424/9219 is

GCF of Numerators i.e. for 5043,5424 is 3

LCM of denominators i.e. for 234,9219 is 719082.

Thus, GCF of Fractions is 3/719082.Finally, GCF of Fractions for 5043/234, 5424/9219 is 3/719082.