Greatest Common Factor of 2760/305, 8888/6042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2760/305, 8888/6042

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 2760/305,8888/6042

Given fractions are 2760/305,8888/6042

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 2760,8888

Greatest Common Factor of Numerators i.e. GCF of 2760,8888 is 8 .

LCM of Denominators means LCM of 305,6042 as per the given fractions.

LCM of 305,6042 is 1842810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2760,8888

GCF of Fractions 2760/305,8888/6042 is 8/1842810

2 2760, 8888
2 1380, 4444
2 690, 2222
345, 1111

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2760,8888 By Matching Biggest Common Factor Method

Greatest Common Factor of 2760,8888 By Matching Biggest Common Factor Method

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

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors 2760,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 2760,8888 is 8.

Lets's calculate LCM of 305,6042

Given numbers has no common factors except 1. So, there LCM is their product i.e 1842810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1842810

Therefore, the GCF of Fractions 2760/305,8888/6042 is 8/1842810

Least Common Multiple of 305,6042 with GCF Formula

Least Common Multiple of 305,6042 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 305,6042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,6042) = 1

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

GCF(305,6042) x common factors =1 x 1 = 1

LCM(305,6042) = ( 305 × 6042 ) / 1

LCM(305,6042) = 1842810 / 1

LCM(305,6042) = 1842810


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 2760/305, 8888/6042

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 2760/305, 8888/6042?

Answer: GCF of Numerators as per given numbers 2760/305, 8888/6042 is

GCF of Numerators i.e. for 2760,8888 is 8

LCM of denominators i.e. for 305,6042 is 1842810.

Thus, GCF of Fractions is 8/1842810.Finally, GCF of Fractions for 2760/305, 8888/6042 is 8/1842810.