Greatest Common Factor of 48/334, 384/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/334, 384/756

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 48/334,384/756

Given fractions are 48/334,384/756

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 48,384

Greatest Common Factor of Numerators i.e. GCF of 48,384 is 48 .

LCM of Denominators means LCM of 334,756 as per the given fractions.

LCM of 334,756 is 126252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,384

GCF of Fractions 48/334,384/756 is 48/126252

2 48, 384
2 24, 192
2 12, 96
2 6, 48
3 3, 24
1, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 48,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,384 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 48,384 . The biggest common factor number is the GCF number.
So the greatest common factor 48,384 is 48.

Lets's calculate LCM of 334,756

2 334, 756
167, 378

∴ So the LCM of the given numbers is 2 x 167 x 378 = 126252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/126252

Therefore, the GCF of Fractions 48/334,384/756 is 48/126252

Least Common Multiple of 334,756 with GCF Formula

Least Common Multiple of 334,756 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 334,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,756) = 2

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

GCF(334,756) x common factors =2 x 1 = 2

LCM(334,756) = ( 334 × 756 ) / 2

LCM(334,756) = 252504 / 2

LCM(334,756) = 126252


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/334, 384/756

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 48/334, 384/756?

Answer: GCF of Numerators as per given numbers 48/334, 384/756 is

GCF of Numerators i.e. for 48,384 is 48

LCM of denominators i.e. for 334,756 is 126252.

Thus, GCF of Fractions is 48/126252.Finally, GCF of Fractions for 48/334, 384/756 is 48/126252.