Greatest Common Factor of 306/13, 919/69, 497/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 306/13, 919/69, 497/17

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 306/13,919/69,497/17

Given fractions are 306/13,919/69,497/17

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 306,919,497

Greatest Common Factor of Numerators i.e. GCF of 306,919,497 is 1 .

LCM of Denominators means LCM of 13,69,17 as per the given fractions.

LCM of 13,69,17 is 15249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 306,919,497

GCF of Fractions 306/13,919/69,497/17 is 1/15249

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

Greatest Common Factor of 306,919,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,919,497 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 306,919,497 . The biggest common factor number is the GCF number.
So the greatest common factor 306,919,497 is 1.

Lets's calculate LCM of 13,69,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 15249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15249

Therefore, the GCF of Fractions 306/13,919/69,497/17 is 1/15249

Least Common Multiple of 13,69,17 with GCF Formula

Least Common Multiple of 13,69,17 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 13,69,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,69,17) = 1

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

GCF(13,69,17) x common factors =1 x 1 = 1

LCM(13,69,17) = ( 13 × 69 × 17 ) / 1

LCM(13,69,17) = 15249 / 1

LCM(13,69,17) = 15249


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 306/13, 919/69, 497/17

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 306/13, 919/69, 497/17?

Answer: GCF of Numerators as per given numbers 306/13, 919/69, 497/17 is

GCF of Numerators i.e. for 306,919,497 is 1

LCM of denominators i.e. for 13,69,17 is 15249.

Thus, GCF of Fractions is 1/15249.Finally, GCF of Fractions for 306/13, 919/69, 497/17 is 1/15249.