Greatest Common Factor of 4389/66, 6969/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4389/66, 6969/332

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 4389/66,6969/332

Given fractions are 4389/66,6969/332

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 4389,6969

Greatest Common Factor of Numerators i.e. GCF of 4389,6969 is 3 .

LCM of Denominators means LCM of 66,332 as per the given fractions.

LCM of 66,332 is 10956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4389,6969

GCF of Fractions 4389/66,6969/332 is 3/10956

3 4389, 6969
1463, 2323

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

Greatest Common Factor of 4389,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 4389,6969 By Matching Biggest Common Factor Method

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 4389,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 4389,6969 is 3.

Lets's calculate LCM of 66,332

2 66, 332
33, 166

∴ So the LCM of the given numbers is 2 x 33 x 166 = 10956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10956

Therefore, the GCF of Fractions 4389/66,6969/332 is 3/10956

Least Common Multiple of 66,332 with GCF Formula

Least Common Multiple of 66,332 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 66,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,332) = 2

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

GCF(66,332) x common factors =2 x 1 = 2

LCM(66,332) = ( 66 × 332 ) / 2

LCM(66,332) = 21912 / 2

LCM(66,332) = 10956


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 4389/66, 6969/332

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 4389/66, 6969/332?

Answer: GCF of Numerators as per given numbers 4389/66, 6969/332 is

GCF of Numerators i.e. for 4389,6969 is 3

LCM of denominators i.e. for 66,332 is 10956.

Thus, GCF of Fractions is 3/10956.Finally, GCF of Fractions for 4389/66, 6969/332 is 3/10956.