Greatest Common Factor of 6336/12, 5066/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6336/12, 5066/282

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 6336/12,5066/282

Given fractions are 6336/12,5066/282

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 6336,5066

Greatest Common Factor of Numerators i.e. GCF of 6336,5066 is 2 .

LCM of Denominators means LCM of 12,282 as per the given fractions.

LCM of 12,282 is 564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6336,5066

GCF of Fractions 6336/12,5066/282 is 2/564

2 6336, 5066
3168, 2533

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

Greatest Common Factor of 6336,5066 By Matching Biggest Common Factor Method

Greatest Common Factor of 6336,5066 By Matching Biggest Common Factor Method

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336

Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1,2,17,34,149,298,2533,5066

Greatest Common Factor

We found the factors 6336,5066 . The biggest common factor number is the GCF number.
So the greatest common factor 6336,5066 is 2.

Lets's calculate LCM of 12,282

2 12, 282
3 6, 141
2, 47

∴ So the LCM of the given numbers is 2 x 3 x 2 x 47 = 564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/564

Therefore, the GCF of Fractions 6336/12,5066/282 is 2/564

Least Common Multiple of 12,282 with GCF Formula

Least Common Multiple of 12,282 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 12,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,282) = 6

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

GCF(12,282) x common factors =6 x 1 = 6

LCM(12,282) = ( 12 × 282 ) / 6

LCM(12,282) = 3384 / 6

LCM(12,282) = 564


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 6336/12, 5066/282

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 6336/12, 5066/282?

Answer: GCF of Numerators as per given numbers 6336/12, 5066/282 is

GCF of Numerators i.e. for 6336,5066 is 2

LCM of denominators i.e. for 12,282 is 564.

Thus, GCF of Fractions is 2/564.Finally, GCF of Fractions for 6336/12, 5066/282 is 2/564.