Greatest Common Factor of 498/12, 304/23, 109/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/12, 304/23, 109/12

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 498/12,304/23,109/12

Given fractions are 498/12,304/23,109/12

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 498,304,109

Greatest Common Factor of Numerators i.e. GCF of 498,304,109 is 1 .

LCM of Denominators means LCM of 12,23,12 as per the given fractions.

LCM of 12,23,12 is 276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,304,109

GCF of Fractions 498/12,304/23,109/12 is 1/276

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

Greatest Common Factor of 498,304,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,304,109 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 498,304,109 . The biggest common factor number is the GCF number.
So the greatest common factor 498,304,109 is 1.

Lets's calculate LCM of 12,23,12

2 12, 23, 12
2 6, 23, 6
3 3, 23, 3
1, 23, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 23 x 1 = 276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276

Therefore, the GCF of Fractions 498/12,304/23,109/12 is 1/276

Least Common Multiple of 12,23,12 with GCF Formula

Least Common Multiple of 12,23,12 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 12,23,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,23,12) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,23,12) x common factors =1 x 12 = 12

LCM(12,23,12) = ( 12 × 23 × 12 ) / 12

LCM(12,23,12) = 3312 / 12

LCM(12,23,12) = 276


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 498/12, 304/23, 109/12

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 498/12, 304/23, 109/12?

Answer: GCF of Numerators as per given numbers 498/12, 304/23, 109/12 is

GCF of Numerators i.e. for 498,304,109 is 1

LCM of denominators i.e. for 12,23,12 is 276.

Thus, GCF of Fractions is 1/276.Finally, GCF of Fractions for 498/12, 304/23, 109/12 is 1/276.