Greatest Common Factor of 5493/96, 8796/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5493/96, 8796/234

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 5493/96,8796/234

Given fractions are 5493/96,8796/234

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 5493,8796

Greatest Common Factor of Numerators i.e. GCF of 5493,8796 is 3 .

LCM of Denominators means LCM of 96,234 as per the given fractions.

LCM of 96,234 is 3744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5493,8796

GCF of Fractions 5493/96,8796/234 is 3/3744

3 5493, 8796
1831, 2932

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

Greatest Common Factor of 5493,8796 By Matching Biggest Common Factor Method

Greatest Common Factor of 5493,8796 By Matching Biggest Common Factor Method

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1,3,1831,5493

Factors of 8796

List of positive integer factors of 8796 that divides 8796 without a remainder.

1,2,3,4,6,12,733,1466,2199,2932,4398,8796

Greatest Common Factor

We found the factors 5493,8796 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,8796 is 3.

Lets's calculate LCM of 96,234

2 96, 234
3 48, 117
16, 39

∴ So the LCM of the given numbers is 2 x 3 x 16 x 39 = 3744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3744

Therefore, the GCF of Fractions 5493/96,8796/234 is 3/3744

Least Common Multiple of 96,234 with GCF Formula

Least Common Multiple of 96,234 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 96,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,234) = 6

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

GCF(96,234) x common factors =6 x 1 = 6

LCM(96,234) = ( 96 × 234 ) / 6

LCM(96,234) = 22464 / 6

LCM(96,234) = 3744


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 5493/96, 8796/234

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 5493/96, 8796/234?

Answer: GCF of Numerators as per given numbers 5493/96, 8796/234 is

GCF of Numerators i.e. for 5493,8796 is 3

LCM of denominators i.e. for 96,234 is 3744.

Thus, GCF of Fractions is 3/3744.Finally, GCF of Fractions for 5493/96, 8796/234 is 3/3744.