Greatest Common Factor of 8363/17, 1098/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8363/17, 1098/864

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 8363/17,1098/864

Given fractions are 8363/17,1098/864

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 8363,1098

Greatest Common Factor of Numerators i.e. GCF of 8363,1098 is 1 .

LCM of Denominators means LCM of 17,864 as per the given fractions.

LCM of 17,864 is 14688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8363,1098

GCF of Fractions 8363/17,1098/864 is 1/14688

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

Greatest Common Factor of 8363,1098 By Matching Biggest Common Factor Method

Greatest Common Factor of 8363,1098 By Matching Biggest Common Factor Method

Factors of 8363

List of positive integer factors of 8363 that divides 8363 without a remainder.

1,8363

Factors of 1098

List of positive integer factors of 1098 that divides 1098 without a remainder.

1,2,3,6,9,18,61,122,183,366,549,1098

Greatest Common Factor

We found the factors 8363,1098 . The biggest common factor number is the GCF number.
So the greatest common factor 8363,1098 is 1.

Lets's calculate LCM of 17,864

Given numbers has no common factors except 1. So, there LCM is their product i.e 14688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14688

Therefore, the GCF of Fractions 8363/17,1098/864 is 1/14688

Least Common Multiple of 17,864 with GCF Formula

Least Common Multiple of 17,864 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 17,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,864) = 1

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

GCF(17,864) x common factors =1 x 1 = 1

LCM(17,864) = ( 17 × 864 ) / 1

LCM(17,864) = 14688 / 1

LCM(17,864) = 14688


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 8363/17, 1098/864

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 8363/17, 1098/864?

Answer: GCF of Numerators as per given numbers 8363/17, 1098/864 is

GCF of Numerators i.e. for 8363,1098 is 1

LCM of denominators i.e. for 17,864 is 14688.

Thus, GCF of Fractions is 1/14688.Finally, GCF of Fractions for 8363/17, 1098/864 is 1/14688.