Greatest Common Factor of 5319/791, 9678/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5319/791, 9678/750

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 5319/791,9678/750

Given fractions are 5319/791,9678/750

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 5319,9678

Greatest Common Factor of Numerators i.e. GCF of 5319,9678 is 3 .

LCM of Denominators means LCM of 791,750 as per the given fractions.

LCM of 791,750 is 593250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5319,9678

GCF of Fractions 5319/791,9678/750 is 3/593250

3 5319, 9678
1773, 3226

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

Greatest Common Factor of 5319,9678 By Matching Biggest Common Factor Method

Greatest Common Factor of 5319,9678 By Matching Biggest Common Factor Method

Factors of 5319

List of positive integer factors of 5319 that divides 5319 without a remainder.

1,3,9,27,197,591,1773,5319

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Greatest Common Factor

We found the factors 5319,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 5319,9678 is 3.

Lets's calculate LCM of 791,750

Given numbers has no common factors except 1. So, there LCM is their product i.e 593250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/593250

Therefore, the GCF of Fractions 5319/791,9678/750 is 3/593250

Least Common Multiple of 791,750 with GCF Formula

Least Common Multiple of 791,750 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 791,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,750) = 1

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

GCF(791,750) x common factors =1 x 1 = 1

LCM(791,750) = ( 791 × 750 ) / 1

LCM(791,750) = 593250 / 1

LCM(791,750) = 593250


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 5319/791, 9678/750

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 5319/791, 9678/750?

Answer: GCF of Numerators as per given numbers 5319/791, 9678/750 is

GCF of Numerators i.e. for 5319,9678 is 3

LCM of denominators i.e. for 791,750 is 593250.

Thus, GCF of Fractions is 3/593250.Finally, GCF of Fractions for 5319/791, 9678/750 is 3/593250.