Greatest Common Factor of 412/48, 384/6915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/48, 384/6915

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 412/48,384/6915

Given fractions are 412/48,384/6915

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 412,384

Greatest Common Factor of Numerators i.e. GCF of 412,384 is 4 .

LCM of Denominators means LCM of 48,6915 as per the given fractions.

LCM of 48,6915 is 110640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,384

GCF of Fractions 412/48,384/6915 is 4/110640

2 412, 384
2 206, 192
103, 96

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 412,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,384 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 412,384 . The biggest common factor number is the GCF number.
So the greatest common factor 412,384 is 4.

Lets's calculate LCM of 48,6915

3 48, 6915
16, 2305

∴ So the LCM of the given numbers is 3 x 16 x 2305 = 110640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/110640

Therefore, the GCF of Fractions 412/48,384/6915 is 4/110640

Least Common Multiple of 48,6915 with GCF Formula

Least Common Multiple of 48,6915 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 48,6915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,6915) = 3

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

GCF(48,6915) x common factors =3 x 1 = 3

LCM(48,6915) = ( 48 × 6915 ) / 3

LCM(48,6915) = 331920 / 3

LCM(48,6915) = 110640


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 412/48, 384/6915

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 412/48, 384/6915?

Answer: GCF of Numerators as per given numbers 412/48, 384/6915 is

GCF of Numerators i.e. for 412,384 is 4

LCM of denominators i.e. for 48,6915 is 110640.

Thus, GCF of Fractions is 4/110640.Finally, GCF of Fractions for 412/48, 384/6915 is 4/110640.