Greatest Common Factor of 966/304, 7305/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/304, 7305/978

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 966/304,7305/978

Given fractions are 966/304,7305/978

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 966,7305

Greatest Common Factor of Numerators i.e. GCF of 966,7305 is 3 .

LCM of Denominators means LCM of 304,978 as per the given fractions.

LCM of 304,978 is 148656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,7305

GCF of Fractions 966/304,7305/978 is 3/148656

3 966, 7305
322, 2435

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 966,7305 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,7305 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 966,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 966,7305 is 3.

Lets's calculate LCM of 304,978

2 304, 978
152, 489

∴ So the LCM of the given numbers is 2 x 152 x 489 = 148656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/148656

Therefore, the GCF of Fractions 966/304,7305/978 is 3/148656

Least Common Multiple of 304,978 with GCF Formula

Least Common Multiple of 304,978 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 304,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,978) = 2

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

GCF(304,978) x common factors =2 x 1 = 2

LCM(304,978) = ( 304 × 978 ) / 2

LCM(304,978) = 297312 / 2

LCM(304,978) = 148656


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 966/304, 7305/978

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 966/304, 7305/978?

Answer: GCF of Numerators as per given numbers 966/304, 7305/978 is

GCF of Numerators i.e. for 966,7305 is 3

LCM of denominators i.e. for 304,978 is 148656.

Thus, GCF of Fractions is 3/148656.Finally, GCF of Fractions for 966/304, 7305/978 is 3/148656.