Greatest Common Factor of 669/866, 3693/7466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 669/866, 3693/7466

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 669/866,3693/7466

Given fractions are 669/866,3693/7466

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 669,3693

Greatest Common Factor of Numerators i.e. GCF of 669,3693 is 3 .

LCM of Denominators means LCM of 866,7466 as per the given fractions.

LCM of 866,7466 is 3232778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 669,3693

GCF of Fractions 669/866,3693/7466 is 3/3232778

3 669, 3693
223, 1231

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

Greatest Common Factor of 669,3693 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,3693 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Greatest Common Factor

We found the factors 669,3693 . The biggest common factor number is the GCF number.
So the greatest common factor 669,3693 is 3.

Lets's calculate LCM of 866,7466

2 866, 7466
433, 3733

∴ So the LCM of the given numbers is 2 x 433 x 3733 = 3232778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3232778

Therefore, the GCF of Fractions 669/866,3693/7466 is 3/3232778

Least Common Multiple of 866,7466 with GCF Formula

Least Common Multiple of 866,7466 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 866,7466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,7466) = 2

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

GCF(866,7466) x common factors =2 x 1 = 2

LCM(866,7466) = ( 866 × 7466 ) / 2

LCM(866,7466) = 6465556 / 2

LCM(866,7466) = 3232778


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 669/866, 3693/7466

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 669/866, 3693/7466?

Answer: GCF of Numerators as per given numbers 669/866, 3693/7466 is

GCF of Numerators i.e. for 669,3693 is 3

LCM of denominators i.e. for 866,7466 is 3232778.

Thus, GCF of Fractions is 3/3232778.Finally, GCF of Fractions for 669/866, 3693/7466 is 3/3232778.