Greatest Common Factor of 1095/928, 5838/4848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1095/928, 5838/4848

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 1095/928,5838/4848

Given fractions are 1095/928,5838/4848

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 1095,5838

Greatest Common Factor of Numerators i.e. GCF of 1095,5838 is 3 .

LCM of Denominators means LCM of 928,4848 as per the given fractions.

LCM of 928,4848 is 281184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1095,5838

GCF of Fractions 1095/928,5838/4848 is 3/281184

3 1095, 5838
365, 1946

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

Greatest Common Factor of 1095,5838 By Matching Biggest Common Factor Method

Greatest Common Factor of 1095,5838 By Matching Biggest Common Factor Method

Factors of 1095

List of positive integer factors of 1095 that divides 1095 without a remainder.

1,3,5,15,73,219,365,1095

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Greatest Common Factor

We found the factors 1095,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 1095,5838 is 3.

Lets's calculate LCM of 928,4848

2 928, 4848
2 464, 2424
2 232, 1212
2 116, 606
58, 303

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 58 x 303 = 281184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/281184

Therefore, the GCF of Fractions 1095/928,5838/4848 is 3/281184

Least Common Multiple of 928,4848 with GCF Formula

Least Common Multiple of 928,4848 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 928,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,4848) = 16

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

GCF(928,4848) x common factors =16 x 1 = 16

LCM(928,4848) = ( 928 × 4848 ) / 16

LCM(928,4848) = 4498944 / 16

LCM(928,4848) = 281184


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 1095/928, 5838/4848

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 1095/928, 5838/4848?

Answer: GCF of Numerators as per given numbers 1095/928, 5838/4848 is

GCF of Numerators i.e. for 1095,5838 is 3

LCM of denominators i.e. for 928,4848 is 281184.

Thus, GCF of Fractions is 3/281184.Finally, GCF of Fractions for 1095/928, 5838/4848 is 3/281184.