Greatest Common Factor of 99/320, 968/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/320, 968/304

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 99/320,968/304

Given fractions are 99/320,968/304

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 99,968

Greatest Common Factor of Numerators i.e. GCF of 99,968 is 11 .

LCM of Denominators means LCM of 320,304 as per the given fractions.

LCM of 320,304 is 6080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,968

GCF of Fractions 99/320,968/304 is 11/6080

11 99, 968
9, 88

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

Greatest Common Factor of 99,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,968 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 99,968 . The biggest common factor number is the GCF number.
So the greatest common factor 99,968 is 11.

Lets's calculate LCM of 320,304

2 320, 304
2 160, 152
2 80, 76
2 40, 38
20, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 20 x 19 = 6080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6080

Therefore, the GCF of Fractions 99/320,968/304 is 11/6080

Least Common Multiple of 320,304 with GCF Formula

Least Common Multiple of 320,304 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 320,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,304) = 16

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

GCF(320,304) x common factors =16 x 1 = 16

LCM(320,304) = ( 320 × 304 ) / 16

LCM(320,304) = 97280 / 16

LCM(320,304) = 6080


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 99/320, 968/304

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 99/320, 968/304?

Answer: GCF of Numerators as per given numbers 99/320, 968/304 is

GCF of Numerators i.e. for 99,968 is 11

LCM of denominators i.e. for 320,304 is 6080.

Thus, GCF of Fractions is 11/6080.Finally, GCF of Fractions for 99/320, 968/304 is 11/6080.