Greatest Common Factor of 4433/298, 1342/8032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4433/298, 1342/8032

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 4433/298,1342/8032

Given fractions are 4433/298,1342/8032

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 4433,1342

Greatest Common Factor of Numerators i.e. GCF of 4433,1342 is 11 .

LCM of Denominators means LCM of 298,8032 as per the given fractions.

LCM of 298,8032 is 1196768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4433,1342

GCF of Fractions 4433/298,1342/8032 is 11/1196768

11 4433, 1342
403, 122

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4433,1342 By Matching Biggest Common Factor Method

Greatest Common Factor of 4433,1342 By Matching Biggest Common Factor Method

Factors of 4433

List of positive integer factors of 4433 that divides 4433 without a remainder.

1,11,13,31,143,341,403,4433

Factors of 1342

List of positive integer factors of 1342 that divides 1342 without a remainder.

1,2,11,22,61,122,671,1342

Greatest Common Factor

We found the factors 4433,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 4433,1342 is 11.

Lets's calculate LCM of 298,8032

2 298, 8032
149, 4016

∴ So the LCM of the given numbers is 2 x 149 x 4016 = 1196768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1196768

Therefore, the GCF of Fractions 4433/298,1342/8032 is 11/1196768

Least Common Multiple of 298,8032 with GCF Formula

Least Common Multiple of 298,8032 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 298,8032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,8032) = 2

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

GCF(298,8032) x common factors =2 x 1 = 2

LCM(298,8032) = ( 298 × 8032 ) / 2

LCM(298,8032) = 2393536 / 2

LCM(298,8032) = 1196768


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 4433/298, 1342/8032

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 4433/298, 1342/8032?

Answer: GCF of Numerators as per given numbers 4433/298, 1342/8032 is

GCF of Numerators i.e. for 4433,1342 is 11

LCM of denominators i.e. for 298,8032 is 1196768.

Thus, GCF of Fractions is 11/1196768.Finally, GCF of Fractions for 4433/298, 1342/8032 is 11/1196768.