Greatest Common Factor of 9943/36, 6600/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9943/36, 6600/290

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 9943/36,6600/290

Given fractions are 9943/36,6600/290

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 9943,6600

Greatest Common Factor of Numerators i.e. GCF of 9943,6600 is 1 .

LCM of Denominators means LCM of 36,290 as per the given fractions.

LCM of 36,290 is 5220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9943,6600

GCF of Fractions 9943/36,6600/290 is 1/5220

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9943,6600 By Matching Biggest Common Factor Method

Greatest Common Factor of 9943,6600 By Matching Biggest Common Factor Method

Factors of 9943

List of positive integer factors of 9943 that divides 9943 without a remainder.

1,61,163,9943

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Greatest Common Factor

We found the factors 9943,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,6600 is 1.

Lets's calculate LCM of 36,290

2 36, 290
18, 145

∴ So the LCM of the given numbers is 2 x 18 x 145 = 5220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5220

Therefore, the GCF of Fractions 9943/36,6600/290 is 1/5220

Least Common Multiple of 36,290 with GCF Formula

Least Common Multiple of 36,290 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 36,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,290) = 2

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

GCF(36,290) x common factors =2 x 1 = 2

LCM(36,290) = ( 36 × 290 ) / 2

LCM(36,290) = 10440 / 2

LCM(36,290) = 5220


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 9943/36, 6600/290

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 9943/36, 6600/290?

Answer: GCF of Numerators as per given numbers 9943/36, 6600/290 is

GCF of Numerators i.e. for 9943,6600 is 1

LCM of denominators i.e. for 36,290 is 5220.

Thus, GCF of Fractions is 1/5220.Finally, GCF of Fractions for 9943/36, 6600/290 is 1/5220.