Greatest Common Factor of 9550/243, 8310/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9550/243, 8310/639

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 9550/243,8310/639

Given fractions are 9550/243,8310/639

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 9550,8310

Greatest Common Factor of Numerators i.e. GCF of 9550,8310 is 10 .

LCM of Denominators means LCM of 243,639 as per the given fractions.

LCM of 243,639 is 17253 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9550,8310

GCF of Fractions 9550/243,8310/639 is 10/17253

2 9550, 8310
5 4775, 4155
955, 831

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9550,8310 By Matching Biggest Common Factor Method

Greatest Common Factor of 9550,8310 By Matching Biggest Common Factor Method

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1,2,5,10,25,50,191,382,955,1910,4775,9550

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Greatest Common Factor

We found the factors 9550,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 9550,8310 is 10.

Lets's calculate LCM of 243,639

3 243, 639
3 81, 213
27, 71

∴ So the LCM of the given numbers is 3 x 3 x 27 x 71 = 17253

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/17253

Therefore, the GCF of Fractions 9550/243,8310/639 is 10/17253

Least Common Multiple of 243,639 with GCF Formula

Least Common Multiple of 243,639 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 243,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,639) = 9

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

GCF(243,639) x common factors =9 x 1 = 9

LCM(243,639) = ( 243 × 639 ) / 9

LCM(243,639) = 155277 / 9

LCM(243,639) = 17253


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 9550/243, 8310/639

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 9550/243, 8310/639?

Answer: GCF of Numerators as per given numbers 9550/243, 8310/639 is

GCF of Numerators i.e. for 9550,8310 is 10

LCM of denominators i.e. for 243,639 is 17253.

Thus, GCF of Fractions is 10/17253.Finally, GCF of Fractions for 9550/243, 8310/639 is 10/17253.