Greatest Common Factor of 9686/796, 5751/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9686/796, 5751/203

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 9686/796,5751/203

Given fractions are 9686/796,5751/203

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 9686,5751

Greatest Common Factor of Numerators i.e. GCF of 9686,5751 is 1 .

LCM of Denominators means LCM of 796,203 as per the given fractions.

LCM of 796,203 is 161588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9686,5751

GCF of Fractions 9686/796,5751/203 is 1/161588

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

Greatest Common Factor of 9686,5751 By Matching Biggest Common Factor Method

Greatest Common Factor of 9686,5751 By Matching Biggest Common Factor Method

Factors of 9686

List of positive integer factors of 9686 that divides 9686 without a remainder.

1,2,29,58,167,334,4843,9686

Factors of 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1,3,9,27,71,81,213,639,1917,5751

Greatest Common Factor

We found the factors 9686,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 9686,5751 is 1.

Lets's calculate LCM of 796,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 161588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161588

Therefore, the GCF of Fractions 9686/796,5751/203 is 1/161588

Least Common Multiple of 796,203 with GCF Formula

Least Common Multiple of 796,203 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 796,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,203) = 1

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

GCF(796,203) x common factors =1 x 1 = 1

LCM(796,203) = ( 796 × 203 ) / 1

LCM(796,203) = 161588 / 1

LCM(796,203) = 161588


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 9686/796, 5751/203

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 9686/796, 5751/203?

Answer: GCF of Numerators as per given numbers 9686/796, 5751/203 is

GCF of Numerators i.e. for 9686,5751 is 1

LCM of denominators i.e. for 796,203 is 161588.

Thus, GCF of Fractions is 1/161588.Finally, GCF of Fractions for 9686/796, 5751/203 is 1/161588.