Greatest Common Factor of 6048/44, 8234/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6048/44, 8234/538

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 6048/44,8234/538

Given fractions are 6048/44,8234/538

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 6048,8234

Greatest Common Factor of Numerators i.e. GCF of 6048,8234 is 2 .

LCM of Denominators means LCM of 44,538 as per the given fractions.

LCM of 44,538 is 11836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6048,8234

GCF of Fractions 6048/44,8234/538 is 2/11836

2 6048, 8234
3024, 4117

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

Greatest Common Factor of 6048,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 6048,8234 By Matching Biggest Common Factor Method

Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 6048,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 6048,8234 is 2.

Lets's calculate LCM of 44,538

2 44, 538
22, 269

∴ So the LCM of the given numbers is 2 x 22 x 269 = 11836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11836

Therefore, the GCF of Fractions 6048/44,8234/538 is 2/11836

Least Common Multiple of 44,538 with GCF Formula

Least Common Multiple of 44,538 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 44,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,538) = 2

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

GCF(44,538) x common factors =2 x 1 = 2

LCM(44,538) = ( 44 × 538 ) / 2

LCM(44,538) = 23672 / 2

LCM(44,538) = 11836


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 6048/44, 8234/538

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 6048/44, 8234/538?

Answer: GCF of Numerators as per given numbers 6048/44, 8234/538 is

GCF of Numerators i.e. for 6048,8234 is 2

LCM of denominators i.e. for 44,538 is 11836.

Thus, GCF of Fractions is 2/11836.Finally, GCF of Fractions for 6048/44, 8234/538 is 2/11836.