Greatest Common Factor of 8815/986, 3117/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8815/986, 3117/722

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 8815/986,3117/722

Given fractions are 8815/986,3117/722

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 8815,3117

Greatest Common Factor of Numerators i.e. GCF of 8815,3117 is 1 .

LCM of Denominators means LCM of 986,722 as per the given fractions.

LCM of 986,722 is 355946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8815,3117

GCF of Fractions 8815/986,3117/722 is 1/355946

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

Greatest Common Factor of 8815,3117 By Matching Biggest Common Factor Method

Greatest Common Factor of 8815,3117 By Matching Biggest Common Factor Method

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1,5,41,43,205,215,1763,8815

Factors of 3117

List of positive integer factors of 3117 that divides 3117 without a remainder.

1,3,1039,3117

Greatest Common Factor

We found the factors 8815,3117 . The biggest common factor number is the GCF number.
So the greatest common factor 8815,3117 is 1.

Lets's calculate LCM of 986,722

2 986, 722
493, 361

∴ So the LCM of the given numbers is 2 x 493 x 361 = 355946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355946

Therefore, the GCF of Fractions 8815/986,3117/722 is 1/355946

Least Common Multiple of 986,722 with GCF Formula

Least Common Multiple of 986,722 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 986,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,722) = 2

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

GCF(986,722) x common factors =2 x 1 = 2

LCM(986,722) = ( 986 × 722 ) / 2

LCM(986,722) = 711892 / 2

LCM(986,722) = 355946


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 8815/986, 3117/722

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 8815/986, 3117/722?

Answer: GCF of Numerators as per given numbers 8815/986, 3117/722 is

GCF of Numerators i.e. for 8815,3117 is 1

LCM of denominators i.e. for 986,722 is 355946.

Thus, GCF of Fractions is 1/355946.Finally, GCF of Fractions for 8815/986, 3117/722 is 1/355946.