Greatest Common Factor of 297/15, 330/4802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 297/15, 330/4802

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 297/15,330/4802

Given fractions are 297/15,330/4802

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 297,330

Greatest Common Factor of Numerators i.e. GCF of 297,330 is 33 .

LCM of Denominators means LCM of 15,4802 as per the given fractions.

LCM of 15,4802 is 72030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 297,330

GCF of Fractions 297/15,330/4802 is 33/72030

3 297, 330
11 99, 110
9, 10

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 297,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,330 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 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 297,330 . The biggest common factor number is the GCF number.
So the greatest common factor 297,330 is 33.


Lets's calculate LCM of 15,4802

Given numbers has no common factors except 1. So, there LCM is their product i.e 72030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/72030

Therefore, the GCF of Fractions 297/15,330/4802 is 33/72030

Least Common Multiple of 15,4802 with GCF Formula

Least Common Multiple of 15,4802 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 15,4802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,4802) = 1

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

GCF(15,4802) x common factors =1 x 1 = 1

LCM(15,4802) = ( 15 × 4802 ) / 1

LCM(15,4802) = 72030 / 1

LCM(15,4802) = 72030


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 297/15, 330/4802

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 297/15, 330/4802?

Answer: GCF of Numerators as per given numbers 297/15, 330/4802 is

GCF of Numerators i.e. for 297,330 is 33

LCM of denominators i.e. for 15,4802 is 72030.

Thus, GCF of Fractions is 33/72030.Finally, GCF of Fractions for 297/15, 330/4802 is 33/72030.