Greatest Common Factor of 8445/615, 9890/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8445/615, 9890/966

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 8445/615,9890/966

Given fractions are 8445/615,9890/966

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 8445,9890

Greatest Common Factor of Numerators i.e. GCF of 8445,9890 is 5 .

LCM of Denominators means LCM of 615,966 as per the given fractions.

LCM of 615,966 is 198030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8445,9890

GCF of Fractions 8445/615,9890/966 is 5/198030

5 8445, 9890
1689, 1978

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8445,9890 By Matching Biggest Common Factor Method

Greatest Common Factor of 8445,9890 By Matching Biggest Common Factor Method

Factors of 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1,3,5,15,563,1689,2815,8445

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890

Greatest Common Factor

We found the factors 8445,9890 . The biggest common factor number is the GCF number.
So the greatest common factor 8445,9890 is 5.

Lets's calculate LCM of 615,966

3 615, 966
205, 322

∴ So the LCM of the given numbers is 3 x 205 x 322 = 198030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/198030

Therefore, the GCF of Fractions 8445/615,9890/966 is 5/198030

Least Common Multiple of 615,966 with GCF Formula

Least Common Multiple of 615,966 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 615,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,966) = 3

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

GCF(615,966) x common factors =3 x 1 = 3

LCM(615,966) = ( 615 × 966 ) / 3

LCM(615,966) = 594090 / 3

LCM(615,966) = 198030


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 8445/615, 9890/966

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 8445/615, 9890/966?

Answer: GCF of Numerators as per given numbers 8445/615, 9890/966 is

GCF of Numerators i.e. for 8445,9890 is 5

LCM of denominators i.e. for 615,966 is 198030.

Thus, GCF of Fractions is 5/198030.Finally, GCF of Fractions for 8445/615, 9890/966 is 5/198030.