Greatest Common Factor of 9520/81, 4585/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9520/81, 4585/243

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 9520/81,4585/243

Given fractions are 9520/81,4585/243

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 9520,4585

Greatest Common Factor of Numerators i.e. GCF of 9520,4585 is 35 .

LCM of Denominators means LCM of 81,243 as per the given fractions.

LCM of 81,243 is 243 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9520,4585

GCF of Fractions 9520/81,4585/243 is 35/243

5 9520, 4585
7 1904, 917
272, 131

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 9520,4585 By Matching Biggest Common Factor Method

Greatest Common Factor of 9520,4585 By Matching Biggest Common Factor Method

Factors of 9520

List of positive integer factors of 9520 that divides 9520 without a remainder.

1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520

Factors of 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1,5,7,35,131,655,917,4585

Greatest Common Factor

We found the factors 9520,4585 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,4585 is 35.

Lets's calculate LCM of 81,243

3 81, 243
3 27, 81
3 9, 27
3 3, 9
1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 1 x 3 = 243

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/243

Therefore, the GCF of Fractions 9520/81,4585/243 is 35/243

Least Common Multiple of 81,243 with GCF Formula

Least Common Multiple of 81,243 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 81,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,243) = 81

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

GCF(81,243) x common factors =81 x 1 = 81

LCM(81,243) = ( 81 × 243 ) / 81

LCM(81,243) = 19683 / 81

LCM(81,243) = 243


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 9520/81, 4585/243

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 9520/81, 4585/243?

Answer: GCF of Numerators as per given numbers 9520/81, 4585/243 is

GCF of Numerators i.e. for 9520,4585 is 35

LCM of denominators i.e. for 81,243 is 243.

Thus, GCF of Fractions is 35/243.Finally, GCF of Fractions for 9520/81, 4585/243 is 35/243.