Greatest Common Factor of 6900/240, 5808/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6900/240, 5808/432

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 6900/240,5808/432

Given fractions are 6900/240,5808/432

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 6900,5808

Greatest Common Factor of Numerators i.e. GCF of 6900,5808 is 12 .

LCM of Denominators means LCM of 240,432 as per the given fractions.

LCM of 240,432 is 2160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6900,5808

GCF of Fractions 6900/240,5808/432 is 12/2160

2 6900, 5808
2 3450, 2904
3 1725, 1452
575, 484

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6900,5808 By Matching Biggest Common Factor Method

Greatest Common Factor of 6900,5808 By Matching Biggest Common Factor Method

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Greatest Common Factor

We found the factors 6900,5808 . The biggest common factor number is the GCF number.
So the greatest common factor 6900,5808 is 12.

Lets's calculate LCM of 240,432

2 240, 432
2 120, 216
2 60, 108
2 30, 54
3 15, 27
5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 9 = 2160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2160

Therefore, the GCF of Fractions 6900/240,5808/432 is 12/2160

Least Common Multiple of 240,432 with GCF Formula

Least Common Multiple of 240,432 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 240,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,432) = 48

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

GCF(240,432) x common factors =48 x 1 = 48

LCM(240,432) = ( 240 × 432 ) / 48

LCM(240,432) = 103680 / 48

LCM(240,432) = 2160


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 6900/240, 5808/432

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 6900/240, 5808/432?

Answer: GCF of Numerators as per given numbers 6900/240, 5808/432 is

GCF of Numerators i.e. for 6900,5808 is 12

LCM of denominators i.e. for 240,432 is 2160.

Thus, GCF of Fractions is 12/2160.Finally, GCF of Fractions for 6900/240, 5808/432 is 12/2160.