Greatest Common Factor of 7743/12, 3916/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7743/12, 3916/193

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 7743/12,3916/193

Given fractions are 7743/12,3916/193

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 7743,3916

Greatest Common Factor of Numerators i.e. GCF of 7743,3916 is 89 .

LCM of Denominators means LCM of 12,193 as per the given fractions.

LCM of 12,193 is 2316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7743,3916

GCF of Fractions 7743/12,3916/193 is 89/2316

89 7743, 3916
87, 44

∴ So the GCF of the given numbers is 89 = 89

Greatest Common Factor of 7743,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 7743,3916 By Matching Biggest Common Factor Method

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1,3,29,87,89,267,2581,7743

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 7743,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 7743,3916 is 89.

Lets's calculate LCM of 12,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 2316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/2316

Therefore, the GCF of Fractions 7743/12,3916/193 is 89/2316

Least Common Multiple of 12,193 with GCF Formula

Least Common Multiple of 12,193 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 12,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,193) = 1

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

GCF(12,193) x common factors =1 x 1 = 1

LCM(12,193) = ( 12 × 193 ) / 1

LCM(12,193) = 2316 / 1

LCM(12,193) = 2316


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 7743/12, 3916/193

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 7743/12, 3916/193?

Answer: GCF of Numerators as per given numbers 7743/12, 3916/193 is

GCF of Numerators i.e. for 7743,3916 is 89

LCM of denominators i.e. for 12,193 is 2316.

Thus, GCF of Fractions is 89/2316.Finally, GCF of Fractions for 7743/12, 3916/193 is 89/2316.