Greatest Common Factor of 8198/96, 4317/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8198/96, 4317/623

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 8198/96,4317/623

Given fractions are 8198/96,4317/623

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 8198,4317

Greatest Common Factor of Numerators i.e. GCF of 8198,4317 is 1 .

LCM of Denominators means LCM of 96,623 as per the given fractions.

LCM of 96,623 is 59808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8198,4317

GCF of Fractions 8198/96,4317/623 is 1/59808

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8198,4317 By Matching Biggest Common Factor Method

Greatest Common Factor of 8198,4317 By Matching Biggest Common Factor Method

Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1,2,4099,8198

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1,3,1439,4317

Greatest Common Factor

We found the factors 8198,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 8198,4317 is 1.

Lets's calculate LCM of 96,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 59808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59808

Therefore, the GCF of Fractions 8198/96,4317/623 is 1/59808

Least Common Multiple of 96,623 with GCF Formula

Least Common Multiple of 96,623 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 96,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,623) = 1

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

GCF(96,623) x common factors =1 x 1 = 1

LCM(96,623) = ( 96 × 623 ) / 1

LCM(96,623) = 59808 / 1

LCM(96,623) = 59808


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 8198/96, 4317/623

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 8198/96, 4317/623?

Answer: GCF of Numerators as per given numbers 8198/96, 4317/623 is

GCF of Numerators i.e. for 8198,4317 is 1

LCM of denominators i.e. for 96,623 is 59808.

Thus, GCF of Fractions is 1/59808.Finally, GCF of Fractions for 8198/96, 4317/623 is 1/59808.