Greatest Common Factor of 5294/280, 3398/6489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5294/280, 3398/6489

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 5294/280,3398/6489

Given fractions are 5294/280,3398/6489

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 5294,3398

Greatest Common Factor of Numerators i.e. GCF of 5294,3398 is 2 .

LCM of Denominators means LCM of 280,6489 as per the given fractions.

LCM of 280,6489 is 259560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5294,3398

GCF of Fractions 5294/280,3398/6489 is 2/259560

2 5294, 3398
2647, 1699

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

Greatest Common Factor of 5294,3398 By Matching Biggest Common Factor Method

Greatest Common Factor of 5294,3398 By Matching Biggest Common Factor Method

Factors of 5294

List of positive integer factors of 5294 that divides 5294 without a remainder.

1,2,2647,5294

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1,2,1699,3398

Greatest Common Factor

We found the factors 5294,3398 . The biggest common factor number is the GCF number.
So the greatest common factor 5294,3398 is 2.

Lets's calculate LCM of 280,6489

7 280, 6489
40, 927

∴ So the LCM of the given numbers is 7 x 40 x 927 = 259560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259560

Therefore, the GCF of Fractions 5294/280,3398/6489 is 2/259560

Least Common Multiple of 280,6489 with GCF Formula

Least Common Multiple of 280,6489 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 280,6489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,6489) = 7

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

GCF(280,6489) x common factors =7 x 1 = 7

LCM(280,6489) = ( 280 × 6489 ) / 7

LCM(280,6489) = 1816920 / 7

LCM(280,6489) = 259560


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 5294/280, 3398/6489

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 5294/280, 3398/6489?

Answer: GCF of Numerators as per given numbers 5294/280, 3398/6489 is

GCF of Numerators i.e. for 5294,3398 is 2

LCM of denominators i.e. for 280,6489 is 259560.

Thus, GCF of Fractions is 2/259560.Finally, GCF of Fractions for 5294/280, 3398/6489 is 2/259560.