Greatest Common Factor of 7728/88, 6606/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7728/88, 6606/976

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 7728/88,6606/976

Given fractions are 7728/88,6606/976

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 7728,6606

Greatest Common Factor of Numerators i.e. GCF of 7728,6606 is 6 .

LCM of Denominators means LCM of 88,976 as per the given fractions.

LCM of 88,976 is 10736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7728,6606

GCF of Fractions 7728/88,6606/976 is 6/10736

2 7728, 6606
3 3864, 3303
1288, 1101

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

Greatest Common Factor of 7728,6606 By Matching Biggest Common Factor Method

Greatest Common Factor of 7728,6606 By Matching Biggest Common Factor Method

Factors of 7728

List of positive integer factors of 7728 that divides 7728 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728

Factors of 6606

List of positive integer factors of 6606 that divides 6606 without a remainder.

1,2,3,6,9,18,367,734,1101,2202,3303,6606

Greatest Common Factor

We found the factors 7728,6606 . The biggest common factor number is the GCF number.
So the greatest common factor 7728,6606 is 6.

Lets's calculate LCM of 88,976

2 88, 976
2 44, 488
2 22, 244
11, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 122 = 10736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10736

Therefore, the GCF of Fractions 7728/88,6606/976 is 6/10736

Least Common Multiple of 88,976 with GCF Formula

Least Common Multiple of 88,976 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 88,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,976) = 8

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

GCF(88,976) x common factors =8 x 1 = 8

LCM(88,976) = ( 88 × 976 ) / 8

LCM(88,976) = 85888 / 8

LCM(88,976) = 10736


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 7728/88, 6606/976

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 7728/88, 6606/976?

Answer: GCF of Numerators as per given numbers 7728/88, 6606/976 is

GCF of Numerators i.e. for 7728,6606 is 6

LCM of denominators i.e. for 88,976 is 10736.

Thus, GCF of Fractions is 6/10736.Finally, GCF of Fractions for 7728/88, 6606/976 is 6/10736.