Greatest Common Factor of 6863/17, 6529/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6863/17, 6529/165

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 6863/17,6529/165

Given fractions are 6863/17,6529/165

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 6863,6529

Greatest Common Factor of Numerators i.e. GCF of 6863,6529 is 1 .

LCM of Denominators means LCM of 17,165 as per the given fractions.

LCM of 17,165 is 2805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6863,6529

GCF of Fractions 6863/17,6529/165 is 1/2805

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

Greatest Common Factor of 6863,6529 By Matching Biggest Common Factor Method

Greatest Common Factor of 6863,6529 By Matching Biggest Common Factor Method

Factors of 6863

List of positive integer factors of 6863 that divides 6863 without a remainder.

1,6863

Factors of 6529

List of positive integer factors of 6529 that divides 6529 without a remainder.

1,6529

Greatest Common Factor

We found the factors 6863,6529 . The biggest common factor number is the GCF number.
So the greatest common factor 6863,6529 is 1.

Lets's calculate LCM of 17,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 2805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2805

Therefore, the GCF of Fractions 6863/17,6529/165 is 1/2805

Least Common Multiple of 17,165 with GCF Formula

Least Common Multiple of 17,165 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 17,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,165) = 1

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

GCF(17,165) x common factors =1 x 1 = 1

LCM(17,165) = ( 17 × 165 ) / 1

LCM(17,165) = 2805 / 1

LCM(17,165) = 2805


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 6863/17, 6529/165

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 6863/17, 6529/165?

Answer: GCF of Numerators as per given numbers 6863/17, 6529/165 is

GCF of Numerators i.e. for 6863,6529 is 1

LCM of denominators i.e. for 17,165 is 2805.

Thus, GCF of Fractions is 1/2805.Finally, GCF of Fractions for 6863/17, 6529/165 is 1/2805.