Greatest Common Factor of 6660/192, 5120/8962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6660/192, 5120/8962

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 6660/192,5120/8962

Given fractions are 6660/192,5120/8962

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 6660,5120

Greatest Common Factor of Numerators i.e. GCF of 6660,5120 is 20 .

LCM of Denominators means LCM of 192,8962 as per the given fractions.

LCM of 192,8962 is 860352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6660,5120

GCF of Fractions 6660/192,5120/8962 is 20/860352

2 6660, 5120
2 3330, 2560
5 1665, 1280
333, 256

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 6660,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 6660,5120 By Matching Biggest Common Factor Method

Factors of 6660

List of positive integer factors of 6660 that divides 6660 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,37,45,60,74,90,111,148,180,185,222,333,370,444,555,666,740,1110,1332,1665,2220,3330,6660

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 6660,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 6660,5120 is 20.

Lets's calculate LCM of 192,8962

2 192, 8962
96, 4481

∴ So the LCM of the given numbers is 2 x 96 x 4481 = 860352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/860352

Therefore, the GCF of Fractions 6660/192,5120/8962 is 20/860352

Least Common Multiple of 192,8962 with GCF Formula

Least Common Multiple of 192,8962 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 192,8962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,8962) = 2

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

GCF(192,8962) x common factors =2 x 1 = 2

LCM(192,8962) = ( 192 × 8962 ) / 2

LCM(192,8962) = 1720704 / 2

LCM(192,8962) = 860352


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 6660/192, 5120/8962

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 6660/192, 5120/8962?

Answer: GCF of Numerators as per given numbers 6660/192, 5120/8962 is

GCF of Numerators i.e. for 6660,5120 is 20

LCM of denominators i.e. for 192,8962 is 860352.

Thus, GCF of Fractions is 20/860352.Finally, GCF of Fractions for 6660/192, 5120/8962 is 20/860352.