Greatest Common Factor of 7818/731, 3751/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7818/731, 3751/768

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 7818/731,3751/768

Given fractions are 7818/731,3751/768

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 7818,3751

Greatest Common Factor of Numerators i.e. GCF of 7818,3751 is 1 .

LCM of Denominators means LCM of 731,768 as per the given fractions.

LCM of 731,768 is 561408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7818,3751

GCF of Fractions 7818/731,3751/768 is 1/561408

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7818,3751 By Matching Biggest Common Factor Method

Greatest Common Factor of 7818,3751 By Matching Biggest Common Factor Method

Factors of 7818

List of positive integer factors of 7818 that divides 7818 without a remainder.

1,2,3,6,1303,2606,3909,7818

Factors of 3751

List of positive integer factors of 3751 that divides 3751 without a remainder.

1,11,31,121,341,3751

Greatest Common Factor

We found the factors 7818,3751 . The biggest common factor number is the GCF number.
So the greatest common factor 7818,3751 is 1.

Lets's calculate LCM of 731,768

Given numbers has no common factors except 1. So, there LCM is their product i.e 561408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561408

Therefore, the GCF of Fractions 7818/731,3751/768 is 1/561408

Least Common Multiple of 731,768 with GCF Formula

Least Common Multiple of 731,768 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 731,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,768) = 1

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

GCF(731,768) x common factors =1 x 1 = 1

LCM(731,768) = ( 731 × 768 ) / 1

LCM(731,768) = 561408 / 1

LCM(731,768) = 561408


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 7818/731, 3751/768

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 7818/731, 3751/768?

Answer: GCF of Numerators as per given numbers 7818/731, 3751/768 is

GCF of Numerators i.e. for 7818,3751 is 1

LCM of denominators i.e. for 731,768 is 561408.

Thus, GCF of Fractions is 1/561408.Finally, GCF of Fractions for 7818/731, 3751/768 is 1/561408.