Greatest Common Factor of 323/66, 1178/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/66, 1178/488

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 323/66,1178/488

Given fractions are 323/66,1178/488

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 323,1178

Greatest Common Factor of Numerators i.e. GCF of 323,1178 is 19 .

LCM of Denominators means LCM of 66,488 as per the given fractions.

LCM of 66,488 is 16104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,1178

GCF of Fractions 323/66,1178/488 is 19/16104

19 323, 1178
17, 62

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 323,1178 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,1178 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 1178

List of positive integer factors of 1178 that divides 1178 without a remainder.

1,2,19,31,38,62,589,1178

Greatest Common Factor

We found the factors 323,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 323,1178 is 19.

Lets's calculate LCM of 66,488

2 66, 488
33, 244

∴ So the LCM of the given numbers is 2 x 33 x 244 = 16104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/16104

Therefore, the GCF of Fractions 323/66,1178/488 is 19/16104

Least Common Multiple of 66,488 with GCF Formula

Least Common Multiple of 66,488 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 66,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,488) = 2

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

GCF(66,488) x common factors =2 x 1 = 2

LCM(66,488) = ( 66 × 488 ) / 2

LCM(66,488) = 32208 / 2

LCM(66,488) = 16104


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 323/66, 1178/488

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 323/66, 1178/488?

Answer: GCF of Numerators as per given numbers 323/66, 1178/488 is

GCF of Numerators i.e. for 323,1178 is 19

LCM of denominators i.e. for 66,488 is 16104.

Thus, GCF of Fractions is 19/16104.Finally, GCF of Fractions for 323/66, 1178/488 is 19/16104.