Greatest Common Factor of 4128/828, 5648/2907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4128/828, 5648/2907

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 4128/828,5648/2907

Given fractions are 4128/828,5648/2907

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 4128,5648

Greatest Common Factor of Numerators i.e. GCF of 4128,5648 is 16 .

LCM of Denominators means LCM of 828,2907 as per the given fractions.

LCM of 828,2907 is 267444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4128,5648

GCF of Fractions 4128/828,5648/2907 is 16/267444

2 4128, 5648
2 2064, 2824
2 1032, 1412
2 516, 706
258, 353

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4128,5648 By Matching Biggest Common Factor Method

Greatest Common Factor of 4128,5648 By Matching Biggest Common Factor Method

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128

Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1,2,4,8,16,353,706,1412,2824,5648

Greatest Common Factor

We found the factors 4128,5648 . The biggest common factor number is the GCF number.
So the greatest common factor 4128,5648 is 16.

Lets's calculate LCM of 828,2907

3 828, 2907
3 276, 969
92, 323

∴ So the LCM of the given numbers is 3 x 3 x 92 x 323 = 267444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/267444

Therefore, the GCF of Fractions 4128/828,5648/2907 is 16/267444

Least Common Multiple of 828,2907 with GCF Formula

Least Common Multiple of 828,2907 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 828,2907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,2907) = 9

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

GCF(828,2907) x common factors =9 x 1 = 9

LCM(828,2907) = ( 828 × 2907 ) / 9

LCM(828,2907) = 2406996 / 9

LCM(828,2907) = 267444


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 4128/828, 5648/2907

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 4128/828, 5648/2907?

Answer: GCF of Numerators as per given numbers 4128/828, 5648/2907 is

GCF of Numerators i.e. for 4128,5648 is 16

LCM of denominators i.e. for 828,2907 is 267444.

Thus, GCF of Fractions is 16/267444.Finally, GCF of Fractions for 4128/828, 5648/2907 is 16/267444.