Greatest Common Factor of 4214/46, 1168/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4214/46, 1168/886

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 4214/46,1168/886

Given fractions are 4214/46,1168/886

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 4214,1168

Greatest Common Factor of Numerators i.e. GCF of 4214,1168 is 2 .

LCM of Denominators means LCM of 46,886 as per the given fractions.

LCM of 46,886 is 20378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4214,1168

GCF of Fractions 4214/46,1168/886 is 2/20378

2 4214, 1168
2107, 584

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

Greatest Common Factor of 4214,1168 By Matching Biggest Common Factor Method

Greatest Common Factor of 4214,1168 By Matching Biggest Common Factor Method

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 4214,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 4214,1168 is 2.


Lets's calculate LCM of 46,886

2 46, 886
23, 443

∴ So the LCM of the given numbers is 2 x 23 x 443 = 20378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20378

Therefore, the GCF of Fractions 4214/46,1168/886 is 2/20378

Least Common Multiple of 46,886 with GCF Formula

Least Common Multiple of 46,886 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 46,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,886) = 2

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

GCF(46,886) x common factors =2 x 1 = 2

LCM(46,886) = ( 46 × 886 ) / 2

LCM(46,886) = 40756 / 2

LCM(46,886) = 20378


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4214/46, 1168/886

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 4214/46, 1168/886?

Answer: GCF of Numerators as per given numbers 4214/46, 1168/886 is

GCF of Numerators i.e. for 4214,1168 is 2

LCM of denominators i.e. for 46,886 is 20378.

Thus, GCF of Fractions is 2/20378.Finally, GCF of Fractions for 4214/46, 1168/886 is 2/20378.