Greatest Common Factor of 9809/92, 8012/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9809/92, 8012/791

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 9809/92,8012/791

Given fractions are 9809/92,8012/791

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 9809,8012

Greatest Common Factor of Numerators i.e. GCF of 9809,8012 is 1 .

LCM of Denominators means LCM of 92,791 as per the given fractions.

LCM of 92,791 is 72772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9809,8012

GCF of Fractions 9809/92,8012/791 is 1/72772

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

Greatest Common Factor of 9809,8012 By Matching Biggest Common Factor Method

Greatest Common Factor of 9809,8012 By Matching Biggest Common Factor Method

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1,17,577,9809

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors 9809,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 9809,8012 is 1.

Lets's calculate LCM of 92,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 72772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72772

Therefore, the GCF of Fractions 9809/92,8012/791 is 1/72772

Least Common Multiple of 92,791 with GCF Formula

Least Common Multiple of 92,791 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 92,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,791) = 1

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

GCF(92,791) x common factors =1 x 1 = 1

LCM(92,791) = ( 92 × 791 ) / 1

LCM(92,791) = 72772 / 1

LCM(92,791) = 72772


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 9809/92, 8012/791

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 9809/92, 8012/791?

Answer: GCF of Numerators as per given numbers 9809/92, 8012/791 is

GCF of Numerators i.e. for 9809,8012 is 1

LCM of denominators i.e. for 92,791 is 72772.

Thus, GCF of Fractions is 1/72772.Finally, GCF of Fractions for 9809/92, 8012/791 is 1/72772.