Greatest Common Factor of 3048/978, 9335/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3048/978, 9335/974

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 3048/978,9335/974

Given fractions are 3048/978,9335/974

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 3048,9335

Greatest Common Factor of Numerators i.e. GCF of 3048,9335 is 1 .

LCM of Denominators means LCM of 978,974 as per the given fractions.

LCM of 978,974 is 476286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3048,9335

GCF of Fractions 3048/978,9335/974 is 1/476286

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

Greatest Common Factor of 3048,9335 By Matching Biggest Common Factor Method

Greatest Common Factor of 3048,9335 By Matching Biggest Common Factor Method

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048

Factors of 9335

List of positive integer factors of 9335 that divides 9335 without a remainder.

1,5,1867,9335

Greatest Common Factor

We found the factors 3048,9335 . The biggest common factor number is the GCF number.
So the greatest common factor 3048,9335 is 1.

Lets's calculate LCM of 978,974

2 978, 974
489, 487

∴ So the LCM of the given numbers is 2 x 489 x 487 = 476286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476286

Therefore, the GCF of Fractions 3048/978,9335/974 is 1/476286

Least Common Multiple of 978,974 with GCF Formula

Least Common Multiple of 978,974 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 978,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,974) = 2

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

GCF(978,974) x common factors =2 x 1 = 2

LCM(978,974) = ( 978 × 974 ) / 2

LCM(978,974) = 952572 / 2

LCM(978,974) = 476286


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 3048/978, 9335/974

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 3048/978, 9335/974?

Answer: GCF of Numerators as per given numbers 3048/978, 9335/974 is

GCF of Numerators i.e. for 3048,9335 is 1

LCM of denominators i.e. for 978,974 is 476286.

Thus, GCF of Fractions is 1/476286.Finally, GCF of Fractions for 3048/978, 9335/974 is 1/476286.