Greatest Common Factor of 5404/55, 7398/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5404/55, 7398/280

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 5404/55,7398/280

Given fractions are 5404/55,7398/280

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 5404,7398

Greatest Common Factor of Numerators i.e. GCF of 5404,7398 is 2 .

LCM of Denominators means LCM of 55,280 as per the given fractions.

LCM of 55,280 is 3080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5404,7398

GCF of Fractions 5404/55,7398/280 is 2/3080

2 5404, 7398
2702, 3699

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5404,7398 By Matching Biggest Common Factor Method

Greatest Common Factor of 5404,7398 By Matching Biggest Common Factor Method

Factors of 5404

List of positive integer factors of 5404 that divides 5404 without a remainder.

1,2,4,7,14,28,193,386,772,1351,2702,5404

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors 5404,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 5404,7398 is 2.

Lets's calculate LCM of 55,280

5 55, 280
11, 56

∴ So the LCM of the given numbers is 5 x 11 x 56 = 3080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3080

Therefore, the GCF of Fractions 5404/55,7398/280 is 2/3080

Least Common Multiple of 55,280 with GCF Formula

Least Common Multiple of 55,280 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 55,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,280) = 5

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

GCF(55,280) x common factors =5 x 1 = 5

LCM(55,280) = ( 55 × 280 ) / 5

LCM(55,280) = 15400 / 5

LCM(55,280) = 3080


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 5404/55, 7398/280

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 5404/55, 7398/280?

Answer: GCF of Numerators as per given numbers 5404/55, 7398/280 is

GCF of Numerators i.e. for 5404,7398 is 2

LCM of denominators i.e. for 55,280 is 3080.

Thus, GCF of Fractions is 2/3080.Finally, GCF of Fractions for 5404/55, 7398/280 is 2/3080.