Greatest Common Factor of 9792/786, 9728/3966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9792/786, 9728/3966

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 9792/786,9728/3966

Given fractions are 9792/786,9728/3966

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 9792,9728

Greatest Common Factor of Numerators i.e. GCF of 9792,9728 is 64 .

LCM of Denominators means LCM of 786,3966 as per the given fractions.

LCM of 786,3966 is 519546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9792,9728

GCF of Fractions 9792/786,9728/3966 is 64/519546

2 9792, 9728
2 4896, 4864
2 2448, 2432
2 1224, 1216
2 612, 608
2 306, 304
153, 152

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 9792,9728 By Matching Biggest Common Factor Method

Greatest Common Factor of 9792,9728 By Matching Biggest Common Factor Method

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Greatest Common Factor

We found the factors 9792,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,9728 is 64.

Lets's calculate LCM of 786,3966

2 786, 3966
3 393, 1983
131, 661

∴ So the LCM of the given numbers is 2 x 3 x 131 x 661 = 519546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/519546

Therefore, the GCF of Fractions 9792/786,9728/3966 is 64/519546

Least Common Multiple of 786,3966 with GCF Formula

Least Common Multiple of 786,3966 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 786,3966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,3966) = 6

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

GCF(786,3966) x common factors =6 x 1 = 6

LCM(786,3966) = ( 786 × 3966 ) / 6

LCM(786,3966) = 3117276 / 6

LCM(786,3966) = 519546


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 9792/786, 9728/3966

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 9792/786, 9728/3966?

Answer: GCF of Numerators as per given numbers 9792/786, 9728/3966 is

GCF of Numerators i.e. for 9792,9728 is 64

LCM of denominators i.e. for 786,3966 is 519546.

Thus, GCF of Fractions is 64/519546.Finally, GCF of Fractions for 9792/786, 9728/3966 is 64/519546.