Greatest Common Factor of 7278/363, 5751/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7278/363, 5751/949

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 7278/363,5751/949

Given fractions are 7278/363,5751/949

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 7278,5751

Greatest Common Factor of Numerators i.e. GCF of 7278,5751 is 3 .

LCM of Denominators means LCM of 363,949 as per the given fractions.

LCM of 363,949 is 344487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7278,5751

GCF of Fractions 7278/363,5751/949 is 3/344487

3 7278, 5751
2426, 1917

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

Greatest Common Factor of 7278,5751 By Matching Biggest Common Factor Method

Greatest Common Factor of 7278,5751 By Matching Biggest Common Factor Method

Factors of 7278

List of positive integer factors of 7278 that divides 7278 without a remainder.

1,2,3,6,1213,2426,3639,7278

Factors of 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1,3,9,27,71,81,213,639,1917,5751

Greatest Common Factor

We found the factors 7278,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 7278,5751 is 3.

Lets's calculate LCM of 363,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 344487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/344487

Therefore, the GCF of Fractions 7278/363,5751/949 is 3/344487

Least Common Multiple of 363,949 with GCF Formula

Least Common Multiple of 363,949 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 363,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,949) = 1

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

GCF(363,949) x common factors =1 x 1 = 1

LCM(363,949) = ( 363 × 949 ) / 1

LCM(363,949) = 344487 / 1

LCM(363,949) = 344487


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 7278/363, 5751/949

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 7278/363, 5751/949?

Answer: GCF of Numerators as per given numbers 7278/363, 5751/949 is

GCF of Numerators i.e. for 7278,5751 is 3

LCM of denominators i.e. for 363,949 is 344487.

Thus, GCF of Fractions is 3/344487.Finally, GCF of Fractions for 7278/363, 5751/949 is 3/344487.