Greatest Common Factor of 7689/488, 2233/2280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7689/488, 2233/2280

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 7689/488,2233/2280

Given fractions are 7689/488,2233/2280

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 7689,2233

Greatest Common Factor of Numerators i.e. GCF of 7689,2233 is 11 .

LCM of Denominators means LCM of 488,2280 as per the given fractions.

LCM of 488,2280 is 139080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7689,2233

GCF of Fractions 7689/488,2233/2280 is 11/139080

11 7689, 2233
699, 203

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 7689,2233 By Matching Biggest Common Factor Method

Greatest Common Factor of 7689,2233 By Matching Biggest Common Factor Method

Factors of 7689

List of positive integer factors of 7689 that divides 7689 without a remainder.

1,3,11,33,233,699,2563,7689

Factors of 2233

List of positive integer factors of 2233 that divides 2233 without a remainder.

1,7,11,29,77,203,319,2233

Greatest Common Factor

We found the factors 7689,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 7689,2233 is 11.

Lets's calculate LCM of 488,2280

2 488, 2280
2 244, 1140
2 122, 570
61, 285

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 285 = 139080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/139080

Therefore, the GCF of Fractions 7689/488,2233/2280 is 11/139080

Least Common Multiple of 488,2280 with GCF Formula

Least Common Multiple of 488,2280 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 488,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,2280) = 8

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

GCF(488,2280) x common factors =8 x 1 = 8

LCM(488,2280) = ( 488 × 2280 ) / 8

LCM(488,2280) = 1112640 / 8

LCM(488,2280) = 139080


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 7689/488, 2233/2280

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 7689/488, 2233/2280?

Answer: GCF of Numerators as per given numbers 7689/488, 2233/2280 is

GCF of Numerators i.e. for 7689,2233 is 11

LCM of denominators i.e. for 488,2280 is 139080.

Thus, GCF of Fractions is 11/139080.Finally, GCF of Fractions for 7689/488, 2233/2280 is 11/139080.