Greatest Common Factor of 9692/729, 9447/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9692/729, 9447/535

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 9692/729,9447/535

Given fractions are 9692/729,9447/535

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 9692,9447

Greatest Common Factor of Numerators i.e. GCF of 9692,9447 is 1 .

LCM of Denominators means LCM of 729,535 as per the given fractions.

LCM of 729,535 is 390015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9692,9447

GCF of Fractions 9692/729,9447/535 is 1/390015

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

Greatest Common Factor of 9692,9447 By Matching Biggest Common Factor Method

Greatest Common Factor of 9692,9447 By Matching Biggest Common Factor Method

Factors of 9692

List of positive integer factors of 9692 that divides 9692 without a remainder.

1,2,4,2423,4846,9692

Factors of 9447

List of positive integer factors of 9447 that divides 9447 without a remainder.

1,3,47,67,141,201,3149,9447

Greatest Common Factor

We found the factors 9692,9447 . The biggest common factor number is the GCF number.
So the greatest common factor 9692,9447 is 1.

Lets's calculate LCM of 729,535

Given numbers has no common factors except 1. So, there LCM is their product i.e 390015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390015

Therefore, the GCF of Fractions 9692/729,9447/535 is 1/390015

Least Common Multiple of 729,535 with GCF Formula

Least Common Multiple of 729,535 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 729,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,535) = 1

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

GCF(729,535) x common factors =1 x 1 = 1

LCM(729,535) = ( 729 × 535 ) / 1

LCM(729,535) = 390015 / 1

LCM(729,535) = 390015


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 9692/729, 9447/535

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 9692/729, 9447/535?

Answer: GCF of Numerators as per given numbers 9692/729, 9447/535 is

GCF of Numerators i.e. for 9692,9447 is 1

LCM of denominators i.e. for 729,535 is 390015.

Thus, GCF of Fractions is 1/390015.Finally, GCF of Fractions for 9692/729, 9447/535 is 1/390015.