Greatest Common Factor of 3300/969, 5609/1113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3300/969, 5609/1113

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 3300/969,5609/1113

Given fractions are 3300/969,5609/1113

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 3300,5609

Greatest Common Factor of Numerators i.e. GCF of 3300,5609 is 1 .

LCM of Denominators means LCM of 969,1113 as per the given fractions.

LCM of 969,1113 is 359499 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3300,5609

GCF of Fractions 3300/969,5609/1113 is 1/359499

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

Greatest Common Factor of 3300,5609 By Matching Biggest Common Factor Method

Greatest Common Factor of 3300,5609 By Matching Biggest Common Factor Method

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1,71,79,5609

Greatest Common Factor

We found the factors 3300,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 3300,5609 is 1.

Lets's calculate LCM of 969,1113

3 969, 1113
323, 371

∴ So the LCM of the given numbers is 3 x 323 x 371 = 359499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359499

Therefore, the GCF of Fractions 3300/969,5609/1113 is 1/359499

Least Common Multiple of 969,1113 with GCF Formula

Least Common Multiple of 969,1113 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 969,1113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,1113) = 3

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

GCF(969,1113) x common factors =3 x 1 = 3

LCM(969,1113) = ( 969 × 1113 ) / 3

LCM(969,1113) = 1078497 / 3

LCM(969,1113) = 359499


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 3300/969, 5609/1113

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 3300/969, 5609/1113?

Answer: GCF of Numerators as per given numbers 3300/969, 5609/1113 is

GCF of Numerators i.e. for 3300,5609 is 1

LCM of denominators i.e. for 969,1113 is 359499.

Thus, GCF of Fractions is 1/359499.Finally, GCF of Fractions for 3300/969, 5609/1113 is 1/359499.