Greatest Common Factor of 5283/16, 8942/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5283/16, 8942/886

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 5283/16,8942/886

Given fractions are 5283/16,8942/886

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 5283,8942

Greatest Common Factor of Numerators i.e. GCF of 5283,8942 is 1 .

LCM of Denominators means LCM of 16,886 as per the given fractions.

LCM of 16,886 is 7088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5283,8942

GCF of Fractions 5283/16,8942/886 is 1/7088

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

Greatest Common Factor of 5283,8942 By Matching Biggest Common Factor Method

Greatest Common Factor of 5283,8942 By Matching Biggest Common Factor Method

Factors of 5283

List of positive integer factors of 5283 that divides 5283 without a remainder.

1,3,9,587,1761,5283

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Greatest Common Factor

We found the factors 5283,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 5283,8942 is 1.

Lets's calculate LCM of 16,886

2 16, 886
8, 443

∴ So the LCM of the given numbers is 2 x 8 x 443 = 7088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7088

Therefore, the GCF of Fractions 5283/16,8942/886 is 1/7088

Least Common Multiple of 16,886 with GCF Formula

Least Common Multiple of 16,886 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 16,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,886) = 2

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

GCF(16,886) x common factors =2 x 1 = 2

LCM(16,886) = ( 16 × 886 ) / 2

LCM(16,886) = 14176 / 2

LCM(16,886) = 7088


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 5283/16, 8942/886

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 5283/16, 8942/886?

Answer: GCF of Numerators as per given numbers 5283/16, 8942/886 is

GCF of Numerators i.e. for 5283,8942 is 1

LCM of denominators i.e. for 16,886 is 7088.

Thus, GCF of Fractions is 1/7088.Finally, GCF of Fractions for 5283/16, 8942/886 is 1/7088.