Greatest Common Factor of 8418/268, 5831/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8418/268, 5831/168

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 8418/268,5831/168

Given fractions are 8418/268,5831/168

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 8418,5831

Greatest Common Factor of Numerators i.e. GCF of 8418,5831 is 1 .

LCM of Denominators means LCM of 268,168 as per the given fractions.

LCM of 268,168 is 11256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8418,5831

GCF of Fractions 8418/268,5831/168 is 1/11256

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

Greatest Common Factor of 8418,5831 By Matching Biggest Common Factor Method

Greatest Common Factor of 8418,5831 By Matching Biggest Common Factor Method

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1,7,17,49,119,343,833,5831

Greatest Common Factor

We found the factors 8418,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,5831 is 1.

Lets's calculate LCM of 268,168

2 268, 168
2 134, 84
67, 42

∴ So the LCM of the given numbers is 2 x 2 x 67 x 42 = 11256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11256

Therefore, the GCF of Fractions 8418/268,5831/168 is 1/11256

Least Common Multiple of 268,168 with GCF Formula

Least Common Multiple of 268,168 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 268,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,168) = 4

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

GCF(268,168) x common factors =4 x 1 = 4

LCM(268,168) = ( 268 × 168 ) / 4

LCM(268,168) = 45024 / 4

LCM(268,168) = 11256


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 8418/268, 5831/168

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 8418/268, 5831/168?

Answer: GCF of Numerators as per given numbers 8418/268, 5831/168 is

GCF of Numerators i.e. for 8418,5831 is 1

LCM of denominators i.e. for 268,168 is 11256.

Thus, GCF of Fractions is 1/11256.Finally, GCF of Fractions for 8418/268, 5831/168 is 1/11256.