Greatest Common Factor of 3066/46, 2760/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3066/46, 2760/803

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 3066/46,2760/803

Given fractions are 3066/46,2760/803

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 3066,2760

Greatest Common Factor of Numerators i.e. GCF of 3066,2760 is 6 .

LCM of Denominators means LCM of 46,803 as per the given fractions.

LCM of 46,803 is 36938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3066,2760

GCF of Fractions 3066/46,2760/803 is 6/36938

2 3066, 2760
3 1533, 1380
511, 460

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

Greatest Common Factor of 3066,2760 By Matching Biggest Common Factor Method

Greatest Common Factor of 3066,2760 By Matching Biggest Common Factor Method

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066

Factors of 2760

List of positive integer factors of 2760 that divides 2760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760

Greatest Common Factor

We found the factors 3066,2760 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,2760 is 6.

Lets's calculate LCM of 46,803

Given numbers has no common factors except 1. So, there LCM is their product i.e 36938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/36938

Therefore, the GCF of Fractions 3066/46,2760/803 is 6/36938

Least Common Multiple of 46,803 with GCF Formula

Least Common Multiple of 46,803 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 46,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,803) = 1

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

GCF(46,803) x common factors =1 x 1 = 1

LCM(46,803) = ( 46 × 803 ) / 1

LCM(46,803) = 36938 / 1

LCM(46,803) = 36938


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 3066/46, 2760/803

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 3066/46, 2760/803?

Answer: GCF of Numerators as per given numbers 3066/46, 2760/803 is

GCF of Numerators i.e. for 3066,2760 is 6

LCM of denominators i.e. for 46,803 is 36938.

Thus, GCF of Fractions is 6/36938.Finally, GCF of Fractions for 3066/46, 2760/803 is 6/36938.