Greatest Common Factor of 5043/279, 8906/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5043/279, 8906/948

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 5043/279,8906/948

Given fractions are 5043/279,8906/948

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 5043,8906

Greatest Common Factor of Numerators i.e. GCF of 5043,8906 is 1 .

LCM of Denominators means LCM of 279,948 as per the given fractions.

LCM of 279,948 is 88164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5043,8906

GCF of Fractions 5043/279,8906/948 is 1/88164

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5043,8906 By Matching Biggest Common Factor Method

Greatest Common Factor of 5043,8906 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 8906

List of positive integer factors of 8906 that divides 8906 without a remainder.

1,2,61,73,122,146,4453,8906

Greatest Common Factor

We found the factors 5043,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 5043,8906 is 1.

Lets's calculate LCM of 279,948

3 279, 948
93, 316

∴ So the LCM of the given numbers is 3 x 93 x 316 = 88164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88164

Therefore, the GCF of Fractions 5043/279,8906/948 is 1/88164

Least Common Multiple of 279,948 with GCF Formula

Least Common Multiple of 279,948 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 279,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,948) = 3

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

GCF(279,948) x common factors =3 x 1 = 3

LCM(279,948) = ( 279 × 948 ) / 3

LCM(279,948) = 264492 / 3

LCM(279,948) = 88164


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 5043/279, 8906/948

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 5043/279, 8906/948?

Answer: GCF of Numerators as per given numbers 5043/279, 8906/948 is

GCF of Numerators i.e. for 5043,8906 is 1

LCM of denominators i.e. for 279,948 is 88164.

Thus, GCF of Fractions is 1/88164.Finally, GCF of Fractions for 5043/279, 8906/948 is 1/88164.