Greatest Common Factor of 2754/111, 8220/5268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2754/111, 8220/5268

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 2754/111,8220/5268

Given fractions are 2754/111,8220/5268

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 2754,8220

Greatest Common Factor of Numerators i.e. GCF of 2754,8220 is 6 .

LCM of Denominators means LCM of 111,5268 as per the given fractions.

LCM of 111,5268 is 194916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2754,8220

GCF of Fractions 2754/111,8220/5268 is 6/194916

2 2754, 8220
3 1377, 4110
459, 1370

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

Greatest Common Factor of 2754,8220 By Matching Biggest Common Factor Method

Greatest Common Factor of 2754,8220 By Matching Biggest Common Factor Method

Factors of 2754

List of positive integer factors of 2754 that divides 2754 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,306,459,918,1377,2754

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 2754,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 2754,8220 is 6.

Lets's calculate LCM of 111,5268

3 111, 5268
37, 1756

∴ So the LCM of the given numbers is 3 x 37 x 1756 = 194916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/194916

Therefore, the GCF of Fractions 2754/111,8220/5268 is 6/194916

Least Common Multiple of 111,5268 with GCF Formula

Least Common Multiple of 111,5268 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 111,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,5268) = 3

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

GCF(111,5268) x common factors =3 x 1 = 3

LCM(111,5268) = ( 111 × 5268 ) / 3

LCM(111,5268) = 584748 / 3

LCM(111,5268) = 194916


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 2754/111, 8220/5268

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 2754/111, 8220/5268?

Answer: GCF of Numerators as per given numbers 2754/111, 8220/5268 is

GCF of Numerators i.e. for 2754,8220 is 6

LCM of denominators i.e. for 111,5268 is 194916.

Thus, GCF of Fractions is 6/194916.Finally, GCF of Fractions for 2754/111, 8220/5268 is 6/194916.