Greatest Common Factor of 8655/180, 8160/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8655/180, 8160/526

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 8655/180,8160/526

Given fractions are 8655/180,8160/526

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 8655,8160

Greatest Common Factor of Numerators i.e. GCF of 8655,8160 is 15 .

LCM of Denominators means LCM of 180,526 as per the given fractions.

LCM of 180,526 is 47340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8655,8160

GCF of Fractions 8655/180,8160/526 is 15/47340

3 8655, 8160
5 2885, 2720
577, 544

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 8655,8160 By Matching Biggest Common Factor Method

Greatest Common Factor of 8655,8160 By Matching Biggest Common Factor Method

Factors of 8655

List of positive integer factors of 8655 that divides 8655 without a remainder.

1,3,5,15,577,1731,2885,8655

Factors of 8160

List of positive integer factors of 8160 that divides 8160 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160

Greatest Common Factor

We found the factors 8655,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 8655,8160 is 15.

Lets's calculate LCM of 180,526

2 180, 526
90, 263

∴ So the LCM of the given numbers is 2 x 90 x 263 = 47340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/47340

Therefore, the GCF of Fractions 8655/180,8160/526 is 15/47340

Least Common Multiple of 180,526 with GCF Formula

Least Common Multiple of 180,526 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 180,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,526) = 2

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

GCF(180,526) x common factors =2 x 1 = 2

LCM(180,526) = ( 180 × 526 ) / 2

LCM(180,526) = 94680 / 2

LCM(180,526) = 47340


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 8655/180, 8160/526

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 8655/180, 8160/526?

Answer: GCF of Numerators as per given numbers 8655/180, 8160/526 is

GCF of Numerators i.e. for 8655,8160 is 15

LCM of denominators i.e. for 180,526 is 47340.

Thus, GCF of Fractions is 15/47340.Finally, GCF of Fractions for 8655/180, 8160/526 is 15/47340.