Greatest Common Factor of 4398/566, 4458/6210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4398/566, 4458/6210

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 4398/566,4458/6210

Given fractions are 4398/566,4458/6210

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 4398,4458

Greatest Common Factor of Numerators i.e. GCF of 4398,4458 is 6 .

LCM of Denominators means LCM of 566,6210 as per the given fractions.

LCM of 566,6210 is 1757430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4398,4458

GCF of Fractions 4398/566,4458/6210 is 6/1757430

2 4398, 4458
3 2199, 2229
733, 743

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4398,4458 By Matching Biggest Common Factor Method

Greatest Common Factor of 4398,4458 By Matching Biggest Common Factor Method

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1,2,3,6,733,1466,2199,4398

Factors of 4458

List of positive integer factors of 4458 that divides 4458 without a remainder.

1,2,3,6,743,1486,2229,4458

Greatest Common Factor

We found the factors 4398,4458 . The biggest common factor number is the GCF number.
So the greatest common factor 4398,4458 is 6.

Lets's calculate LCM of 566,6210

2 566, 6210
283, 3105

∴ So the LCM of the given numbers is 2 x 283 x 3105 = 1757430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1757430

Therefore, the GCF of Fractions 4398/566,4458/6210 is 6/1757430

Least Common Multiple of 566,6210 with GCF Formula

Least Common Multiple of 566,6210 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 566,6210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,6210) = 2

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

GCF(566,6210) x common factors =2 x 1 = 2

LCM(566,6210) = ( 566 × 6210 ) / 2

LCM(566,6210) = 3514860 / 2

LCM(566,6210) = 1757430


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 4398/566, 4458/6210

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 4398/566, 4458/6210?

Answer: GCF of Numerators as per given numbers 4398/566, 4458/6210 is

GCF of Numerators i.e. for 4398,4458 is 6

LCM of denominators i.e. for 566,6210 is 1757430.

Thus, GCF of Fractions is 6/1757430.Finally, GCF of Fractions for 4398/566, 4458/6210 is 6/1757430.