Greatest Common Factor of 9887/792, 5186/8969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9887/792, 5186/8969

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 9887/792,5186/8969

Given fractions are 9887/792,5186/8969

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 9887,5186

Greatest Common Factor of Numerators i.e. GCF of 9887,5186 is 1 .

LCM of Denominators means LCM of 792,8969 as per the given fractions.

LCM of 792,8969 is 7103448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9887,5186

GCF of Fractions 9887/792,5186/8969 is 1/7103448

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

Greatest Common Factor of 9887,5186 By Matching Biggest Common Factor Method

Greatest Common Factor of 9887,5186 By Matching Biggest Common Factor Method

Factors of 9887

List of positive integer factors of 9887 that divides 9887 without a remainder.

1,9887

Factors of 5186

List of positive integer factors of 5186 that divides 5186 without a remainder.

1,2,2593,5186

Greatest Common Factor

We found the factors 9887,5186 . The biggest common factor number is the GCF number.
So the greatest common factor 9887,5186 is 1.

Lets's calculate LCM of 792,8969

Given numbers has no common factors except 1. So, there LCM is their product i.e 7103448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7103448

Therefore, the GCF of Fractions 9887/792,5186/8969 is 1/7103448

Least Common Multiple of 792,8969 with GCF Formula

Least Common Multiple of 792,8969 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 792,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,8969) = 1

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

GCF(792,8969) x common factors =1 x 1 = 1

LCM(792,8969) = ( 792 × 8969 ) / 1

LCM(792,8969) = 7103448 / 1

LCM(792,8969) = 7103448


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 9887/792, 5186/8969

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 9887/792, 5186/8969?

Answer: GCF of Numerators as per given numbers 9887/792, 5186/8969 is

GCF of Numerators i.e. for 9887,5186 is 1

LCM of denominators i.e. for 792,8969 is 7103448.

Thus, GCF of Fractions is 1/7103448.Finally, GCF of Fractions for 9887/792, 5186/8969 is 1/7103448.