Greatest Common Factor of 8395/729, 6417/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8395/729, 6417/913

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 8395/729,6417/913

Given fractions are 8395/729,6417/913

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 8395,6417

Greatest Common Factor of Numerators i.e. GCF of 8395,6417 is 23 .

LCM of Denominators means LCM of 729,913 as per the given fractions.

LCM of 729,913 is 665577 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8395,6417

GCF of Fractions 8395/729,6417/913 is 23/665577

23 8395, 6417
365, 279

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 8395,6417 By Matching Biggest Common Factor Method

Greatest Common Factor of 8395,6417 By Matching Biggest Common Factor Method

Factors of 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1,5,23,73,115,365,1679,8395

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Greatest Common Factor

We found the factors 8395,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 8395,6417 is 23.

Lets's calculate LCM of 729,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 665577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/665577

Therefore, the GCF of Fractions 8395/729,6417/913 is 23/665577

Least Common Multiple of 729,913 with GCF Formula

Least Common Multiple of 729,913 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 729,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,913) = 1

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

GCF(729,913) x common factors =1 x 1 = 1

LCM(729,913) = ( 729 × 913 ) / 1

LCM(729,913) = 665577 / 1

LCM(729,913) = 665577


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 8395/729, 6417/913

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 8395/729, 6417/913?

Answer: GCF of Numerators as per given numbers 8395/729, 6417/913 is

GCF of Numerators i.e. for 8395,6417 is 23

LCM of denominators i.e. for 729,913 is 665577.

Thus, GCF of Fractions is 23/665577.Finally, GCF of Fractions for 8395/729, 6417/913 is 23/665577.