Greatest Common Factor of 9768/743, 7846/7834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9768/743, 7846/7834

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 9768/743,7846/7834

Given fractions are 9768/743,7846/7834

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 9768,7846

Greatest Common Factor of Numerators i.e. GCF of 9768,7846 is 2 .

LCM of Denominators means LCM of 743,7834 as per the given fractions.

LCM of 743,7834 is 5820662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9768,7846

GCF of Fractions 9768/743,7846/7834 is 2/5820662

2 9768, 7846
4884, 3923

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

Greatest Common Factor of 9768,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 9768,7846 By Matching Biggest Common Factor Method

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1,2,3923,7846

Greatest Common Factor

We found the factors 9768,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 9768,7846 is 2.

Lets's calculate LCM of 743,7834

Given numbers has no common factors except 1. So, there LCM is their product i.e 5820662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5820662

Therefore, the GCF of Fractions 9768/743,7846/7834 is 2/5820662

Least Common Multiple of 743,7834 with GCF Formula

Least Common Multiple of 743,7834 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 743,7834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,7834) = 1

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

GCF(743,7834) x common factors =1 x 1 = 1

LCM(743,7834) = ( 743 × 7834 ) / 1

LCM(743,7834) = 5820662 / 1

LCM(743,7834) = 5820662


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 9768/743, 7846/7834

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 9768/743, 7846/7834?

Answer: GCF of Numerators as per given numbers 9768/743, 7846/7834 is

GCF of Numerators i.e. for 9768,7846 is 2

LCM of denominators i.e. for 743,7834 is 5820662.

Thus, GCF of Fractions is 2/5820662.Finally, GCF of Fractions for 9768/743, 7846/7834 is 2/5820662.