Greatest Common Factor of 48/448, 294/320, 315/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/448, 294/320, 315/184

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 48/448,294/320,315/184

Given fractions are 48/448,294/320,315/184

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 48,294,315

Greatest Common Factor of Numerators i.e. GCF of 48,294,315 is 3 .

LCM of Denominators means LCM of 448,320,184 as per the given fractions.

LCM of 448,320,184 is 51520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,294,315

GCF of Fractions 48/448,294/320,315/184 is 3/51520

3 48, 294, 315
16, 98, 105

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

Greatest Common Factor of 48,294,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,294,315 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 48,294,315 . The biggest common factor number is the GCF number.
So the greatest common factor 48,294,315 is 3.

Lets's calculate LCM of 448,320,184

2 448, 320, 184
2 224, 160, 92
2 112, 80, 46
2 56, 40, 23
2 28, 20, 23
2 14, 10, 23
7, 5, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 7 x 5 x 23 = 51520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51520

Therefore, the GCF of Fractions 48/448,294/320,315/184 is 3/51520

Least Common Multiple of 448,320,184 with GCF Formula

Least Common Multiple of 448,320,184 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 448,320,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,320,184) = 8

common factors(in case of two or more numbers have common factors) = 64

GCF(448,320,184) x common factors =8 x 64 = 512

LCM(448,320,184) = ( 448 × 320 × 184 ) / 512

LCM(448,320,184) = 26378240 / 512

LCM(448,320,184) = 51520


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 48/448, 294/320, 315/184

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 48/448, 294/320, 315/184?

Answer: GCF of Numerators as per given numbers 48/448, 294/320, 315/184 is

GCF of Numerators i.e. for 48,294,315 is 3

LCM of denominators i.e. for 448,320,184 is 51520.

Thus, GCF of Fractions is 3/51520.Finally, GCF of Fractions for 48/448, 294/320, 315/184 is 3/51520.