Greatest Common Factor of 9855/775, 8721/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9855/775, 8721/985

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 9855/775,8721/985

Given fractions are 9855/775,8721/985

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 9855,8721

Greatest Common Factor of Numerators i.e. GCF of 9855,8721 is 27 .

LCM of Denominators means LCM of 775,985 as per the given fractions.

LCM of 775,985 is 152675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9855,8721

GCF of Fractions 9855/775,8721/985 is 27/152675

3 9855, 8721
3 3285, 2907
3 1095, 969
365, 323

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 9855,8721 By Matching Biggest Common Factor Method

Greatest Common Factor of 9855,8721 By Matching Biggest Common Factor Method

Factors of 9855

List of positive integer factors of 9855 that divides 9855 without a remainder.

1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855

Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721

Greatest Common Factor

We found the factors 9855,8721 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,8721 is 27.

Lets's calculate LCM of 775,985

5 775, 985
155, 197

∴ So the LCM of the given numbers is 5 x 155 x 197 = 152675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/152675

Therefore, the GCF of Fractions 9855/775,8721/985 is 27/152675

Least Common Multiple of 775,985 with GCF Formula

Least Common Multiple of 775,985 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 775,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,985) = 5

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

GCF(775,985) x common factors =5 x 1 = 5

LCM(775,985) = ( 775 × 985 ) / 5

LCM(775,985) = 763375 / 5

LCM(775,985) = 152675


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 9855/775, 8721/985

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 9855/775, 8721/985?

Answer: GCF of Numerators as per given numbers 9855/775, 8721/985 is

GCF of Numerators i.e. for 9855,8721 is 27

LCM of denominators i.e. for 775,985 is 152675.

Thus, GCF of Fractions is 27/152675.Finally, GCF of Fractions for 9855/775, 8721/985 is 27/152675.