Greatest Common Factor of 9896/33, 4588/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9896/33, 4588/383

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 9896/33,4588/383

Given fractions are 9896/33,4588/383

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 9896,4588

Greatest Common Factor of Numerators i.e. GCF of 9896,4588 is 4 .

LCM of Denominators means LCM of 33,383 as per the given fractions.

LCM of 33,383 is 12639 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9896,4588

GCF of Fractions 9896/33,4588/383 is 4/12639

2 9896, 4588
2 4948, 2294
2474, 1147

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9896,4588 By Matching Biggest Common Factor Method

Greatest Common Factor of 9896,4588 By Matching Biggest Common Factor Method

Factors of 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1,2,4,8,1237,2474,4948,9896

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Greatest Common Factor

We found the factors 9896,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 9896,4588 is 4.

Lets's calculate LCM of 33,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 12639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12639

Therefore, the GCF of Fractions 9896/33,4588/383 is 4/12639

Least Common Multiple of 33,383 with GCF Formula

Least Common Multiple of 33,383 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 33,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,383) = 1

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

GCF(33,383) x common factors =1 x 1 = 1

LCM(33,383) = ( 33 × 383 ) / 1

LCM(33,383) = 12639 / 1

LCM(33,383) = 12639


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 9896/33, 4588/383

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 9896/33, 4588/383?

Answer: GCF of Numerators as per given numbers 9896/33, 4588/383 is

GCF of Numerators i.e. for 9896,4588 is 4

LCM of denominators i.e. for 33,383 is 12639.

Thus, GCF of Fractions is 4/12639.Finally, GCF of Fractions for 9896/33, 4588/383 is 4/12639.