Greatest Common Factor of 4488/341, 5853/9608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4488/341, 5853/9608

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 4488/341,5853/9608

Given fractions are 4488/341,5853/9608

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 4488,5853

Greatest Common Factor of Numerators i.e. GCF of 4488,5853 is 3 .

LCM of Denominators means LCM of 341,9608 as per the given fractions.

LCM of 341,9608 is 3276328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4488,5853

GCF of Fractions 4488/341,5853/9608 is 3/3276328

3 4488, 5853
1496, 1951

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4488,5853 By Matching Biggest Common Factor Method

Greatest Common Factor of 4488,5853 By Matching Biggest Common Factor Method

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1,3,1951,5853

Greatest Common Factor

We found the factors 4488,5853 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,5853 is 3.

Lets's calculate LCM of 341,9608

Given numbers has no common factors except 1. So, there LCM is their product i.e 3276328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3276328

Therefore, the GCF of Fractions 4488/341,5853/9608 is 3/3276328

Least Common Multiple of 341,9608 with GCF Formula

Least Common Multiple of 341,9608 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 341,9608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,9608) = 1

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

GCF(341,9608) x common factors =1 x 1 = 1

LCM(341,9608) = ( 341 × 9608 ) / 1

LCM(341,9608) = 3276328 / 1

LCM(341,9608) = 3276328


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 4488/341, 5853/9608

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 4488/341, 5853/9608?

Answer: GCF of Numerators as per given numbers 4488/341, 5853/9608 is

GCF of Numerators i.e. for 4488,5853 is 3

LCM of denominators i.e. for 341,9608 is 3276328.

Thus, GCF of Fractions is 3/3276328.Finally, GCF of Fractions for 4488/341, 5853/9608 is 3/3276328.