Greatest Common Factor of 9735/706, 8544/3979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9735/706, 8544/3979

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 9735/706,8544/3979

Given fractions are 9735/706,8544/3979

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 9735,8544

Greatest Common Factor of Numerators i.e. GCF of 9735,8544 is 3 .

LCM of Denominators means LCM of 706,3979 as per the given fractions.

LCM of 706,3979 is 2809174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9735,8544

GCF of Fractions 9735/706,8544/3979 is 3/2809174

3 9735, 8544
3245, 2848

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

Greatest Common Factor of 9735,8544 By Matching Biggest Common Factor Method

Greatest Common Factor of 9735,8544 By Matching Biggest Common Factor Method

Factors of 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735

Factors of 8544

List of positive integer factors of 8544 that divides 8544 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544

Greatest Common Factor

We found the factors 9735,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 9735,8544 is 3.

Lets's calculate LCM of 706,3979

Given numbers has no common factors except 1. So, there LCM is their product i.e 2809174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2809174

Therefore, the GCF of Fractions 9735/706,8544/3979 is 3/2809174

Least Common Multiple of 706,3979 with GCF Formula

Least Common Multiple of 706,3979 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 706,3979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,3979) = 1

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

GCF(706,3979) x common factors =1 x 1 = 1

LCM(706,3979) = ( 706 × 3979 ) / 1

LCM(706,3979) = 2809174 / 1

LCM(706,3979) = 2809174


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 9735/706, 8544/3979

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 9735/706, 8544/3979?

Answer: GCF of Numerators as per given numbers 9735/706, 8544/3979 is

GCF of Numerators i.e. for 9735,8544 is 3

LCM of denominators i.e. for 706,3979 is 2809174.

Thus, GCF of Fractions is 3/2809174.Finally, GCF of Fractions for 9735/706, 8544/3979 is 3/2809174.