Greatest Common Factor of 2233/984, 3325/5843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2233/984, 3325/5843

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 2233/984,3325/5843

Given fractions are 2233/984,3325/5843

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 2233,3325

Greatest Common Factor of Numerators i.e. GCF of 2233,3325 is 7 .

LCM of Denominators means LCM of 984,5843 as per the given fractions.

LCM of 984,5843 is 5749512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2233,3325

GCF of Fractions 2233/984,3325/5843 is 7/5749512

7 2233, 3325
319, 475

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2233,3325 By Matching Biggest Common Factor Method

Greatest Common Factor of 2233,3325 By Matching Biggest Common Factor Method

Factors of 2233

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

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

Factors of 3325

List of positive integer factors of 3325 that divides 3325 without a remainder.

1,5,7,19,25,35,95,133,175,475,665,3325

Greatest Common Factor

We found the factors 2233,3325 . The biggest common factor number is the GCF number.
So the greatest common factor 2233,3325 is 7.

Lets's calculate LCM of 984,5843

Given numbers has no common factors except 1. So, there LCM is their product i.e 5749512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5749512

Therefore, the GCF of Fractions 2233/984,3325/5843 is 7/5749512

Least Common Multiple of 984,5843 with GCF Formula

Least Common Multiple of 984,5843 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 984,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,5843) = 1

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

GCF(984,5843) x common factors =1 x 1 = 1

LCM(984,5843) = ( 984 × 5843 ) / 1

LCM(984,5843) = 5749512 / 1

LCM(984,5843) = 5749512


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 2233/984, 3325/5843

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 2233/984, 3325/5843?

Answer: GCF of Numerators as per given numbers 2233/984, 3325/5843 is

GCF of Numerators i.e. for 2233,3325 is 7

LCM of denominators i.e. for 984,5843 is 5749512.

Thus, GCF of Fractions is 7/5749512.Finally, GCF of Fractions for 2233/984, 3325/5843 is 7/5749512.