Greatest Common Factor of 7974/11, 4734/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7974/11, 4734/843

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 7974/11,4734/843

Given fractions are 7974/11,4734/843

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 7974,4734

Greatest Common Factor of Numerators i.e. GCF of 7974,4734 is 18 .

LCM of Denominators means LCM of 11,843 as per the given fractions.

LCM of 11,843 is 9273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7974,4734

GCF of Fractions 7974/11,4734/843 is 18/9273

2 7974, 4734
3 3987, 2367
3 1329, 789
443, 263

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

Greatest Common Factor of 7974,4734 By Matching Biggest Common Factor Method

Greatest Common Factor of 7974,4734 By Matching Biggest Common Factor Method

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors 7974,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 7974,4734 is 18.

Lets's calculate LCM of 11,843

Given numbers has no common factors except 1. So, there LCM is their product i.e 9273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/9273

Therefore, the GCF of Fractions 7974/11,4734/843 is 18/9273

Least Common Multiple of 11,843 with GCF Formula

Least Common Multiple of 11,843 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 11,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,843) = 1

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

GCF(11,843) x common factors =1 x 1 = 1

LCM(11,843) = ( 11 × 843 ) / 1

LCM(11,843) = 9273 / 1

LCM(11,843) = 9273


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 7974/11, 4734/843

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 7974/11, 4734/843?

Answer: GCF of Numerators as per given numbers 7974/11, 4734/843 is

GCF of Numerators i.e. for 7974,4734 is 18

LCM of denominators i.e. for 11,843 is 9273.

Thus, GCF of Fractions is 18/9273.Finally, GCF of Fractions for 7974/11, 4734/843 is 18/9273.