Greatest Common Factor of 5550/660, 8049/6704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5550/660, 8049/6704

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 5550/660,8049/6704

Given fractions are 5550/660,8049/6704

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 5550,8049

Greatest Common Factor of Numerators i.e. GCF of 5550,8049 is 3 .

LCM of Denominators means LCM of 660,6704 as per the given fractions.

LCM of 660,6704 is 1106160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5550,8049

GCF of Fractions 5550/660,8049/6704 is 3/1106160

3 5550, 8049
1850, 2683

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5550,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 5550,8049 By Matching Biggest Common Factor Method

Factors of 5550

List of positive integer factors of 5550 that divides 5550 without a remainder.

1,2,3,5,6,10,15,25,30,37,50,74,75,111,150,185,222,370,555,925,1110,1850,2775,5550

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 5550,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 5550,8049 is 3.

Lets's calculate LCM of 660,6704

2 660, 6704
2 330, 3352
165, 1676

∴ So the LCM of the given numbers is 2 x 2 x 165 x 1676 = 1106160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1106160

Therefore, the GCF of Fractions 5550/660,8049/6704 is 3/1106160

Least Common Multiple of 660,6704 with GCF Formula

Least Common Multiple of 660,6704 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 660,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,6704) = 4

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

GCF(660,6704) x common factors =4 x 1 = 4

LCM(660,6704) = ( 660 × 6704 ) / 4

LCM(660,6704) = 4424640 / 4

LCM(660,6704) = 1106160


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 5550/660, 8049/6704

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 5550/660, 8049/6704?

Answer: GCF of Numerators as per given numbers 5550/660, 8049/6704 is

GCF of Numerators i.e. for 5550,8049 is 3

LCM of denominators i.e. for 660,6704 is 1106160.

Thus, GCF of Fractions is 3/1106160.Finally, GCF of Fractions for 5550/660, 8049/6704 is 3/1106160.