Greatest Common Factor of 666/7693, 720/9807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 666/7693, 720/9807

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 666/7693,720/9807

Given fractions are 666/7693,720/9807

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 666,720

Greatest Common Factor of Numerators i.e. GCF of 666,720 is 18 .

LCM of Denominators means LCM of 7693,9807 as per the given fractions.

LCM of 7693,9807 is 10777893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 666,720

GCF of Fractions 666/7693,720/9807 is 18/10777893

2 666, 720
3 333, 360
3 111, 120
37, 40

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 666,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,720 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 666,720 . The biggest common factor number is the GCF number.
So the greatest common factor 666,720 is 18.

Lets's calculate LCM of 7693,9807

7 7693, 9807
1099, 1401

∴ So the LCM of the given numbers is 7 x 1099 x 1401 = 10777893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/10777893

Therefore, the GCF of Fractions 666/7693,720/9807 is 18/10777893

Least Common Multiple of 7693,9807 with GCF Formula

Least Common Multiple of 7693,9807 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 7693,9807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7693,9807) = 7

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

GCF(7693,9807) x common factors =7 x 1 = 7

LCM(7693,9807) = ( 7693 × 9807 ) / 7

LCM(7693,9807) = 75445251 / 7

LCM(7693,9807) = 10777893


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 666/7693, 720/9807

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 666/7693, 720/9807?

Answer: GCF of Numerators as per given numbers 666/7693, 720/9807 is

GCF of Numerators i.e. for 666,720 is 18

LCM of denominators i.e. for 7693,9807 is 10777893.

Thus, GCF of Fractions is 18/10777893.Finally, GCF of Fractions for 666/7693, 720/9807 is 18/10777893.