Greatest Common Factor of 396/23, 510/16, 960/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/23, 510/16, 960/851

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 396/23,510/16,960/851

Given fractions are 396/23,510/16,960/851

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 396,510,960

Greatest Common Factor of Numerators i.e. GCF of 396,510,960 is 6 .

LCM of Denominators means LCM of 23,16,851 as per the given fractions.

LCM of 23,16,851 is 13616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,510,960

GCF of Fractions 396/23,510/16,960/851 is 6/13616

2 396, 510, 960
3 198, 255, 480
66, 85, 160

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 396,510,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,510,960 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 396,510,960 . The biggest common factor number is the GCF number.
So the greatest common factor 396,510,960 is 6.

Lets's calculate LCM of 23,16,851

23 23, 16, 851
1, 16, 37

∴ So the LCM of the given numbers is 23 x 1 x 16 x 37 = 13616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/13616

Therefore, the GCF of Fractions 396/23,510/16,960/851 is 6/13616

Least Common Multiple of 23,16,851 with GCF Formula

Least Common Multiple of 23,16,851 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 23,16,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,16,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,16,851) x common factors =1 x 23 = 23

LCM(23,16,851) = ( 23 × 16 × 851 ) / 23

LCM(23,16,851) = 313168 / 23

LCM(23,16,851) = 13616


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 396/23, 510/16, 960/851

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 396/23, 510/16, 960/851?

Answer: GCF of Numerators as per given numbers 396/23, 510/16, 960/851 is

GCF of Numerators i.e. for 396,510,960 is 6

LCM of denominators i.e. for 23,16,851 is 13616.

Thus, GCF of Fractions is 6/13616.Finally, GCF of Fractions for 396/23, 510/16, 960/851 is 6/13616.