Greatest Common Factor of 297/663, 506/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 297/663, 506/299

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 297/663,506/299

Given fractions are 297/663,506/299

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 297,506

Greatest Common Factor of Numerators i.e. GCF of 297,506 is 11 .

LCM of Denominators means LCM of 663,299 as per the given fractions.

LCM of 663,299 is 15249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,506

GCF of Fractions 297/663,506/299 is 11/15249

11 297, 506
27, 46

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 297,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,506 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 297,506 . The biggest common factor number is the GCF number.
So the greatest common factor 297,506 is 11.

Lets's calculate LCM of 663,299

13 663, 299
51, 23

∴ So the LCM of the given numbers is 13 x 51 x 23 = 15249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/15249

Therefore, the GCF of Fractions 297/663,506/299 is 11/15249

Least Common Multiple of 663,299 with GCF Formula

Least Common Multiple of 663,299 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 663,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,299) = 13

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

GCF(663,299) x common factors =13 x 1 = 13

LCM(663,299) = ( 663 × 299 ) / 13

LCM(663,299) = 198237 / 13

LCM(663,299) = 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 297/663, 506/299

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 297/663, 506/299?

Answer: GCF of Numerators as per given numbers 297/663, 506/299 is

GCF of Numerators i.e. for 297,506 is 11

LCM of denominators i.e. for 663,299 is 15249.

Thus, GCF of Fractions is 11/15249.Finally, GCF of Fractions for 297/663, 506/299 is 11/15249.