Greatest Common Factor of 216/645, 8160/9890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/645, 8160/9890

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 216/645,8160/9890

Given fractions are 216/645,8160/9890

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 216,8160

Greatest Common Factor of Numerators i.e. GCF of 216,8160 is 24 .

LCM of Denominators means LCM of 645,9890 as per the given fractions.

LCM of 645,9890 is 29670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,8160

GCF of Fractions 216/645,8160/9890 is 24/29670

2 216, 8160
2 108, 4080
2 54, 2040
3 27, 1020
9, 340

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 216,8160 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,8160 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

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 216,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 216,8160 is 24.

Lets's calculate LCM of 645,9890

5 645, 9890
43 129, 1978
3, 46

∴ So the LCM of the given numbers is 5 x 43 x 3 x 46 = 29670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/29670

Therefore, the GCF of Fractions 216/645,8160/9890 is 24/29670

Least Common Multiple of 645,9890 with GCF Formula

Least Common Multiple of 645,9890 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 645,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,9890) = 215

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

GCF(645,9890) x common factors =215 x 1 = 215

LCM(645,9890) = ( 645 × 9890 ) / 215

LCM(645,9890) = 6379050 / 215

LCM(645,9890) = 29670


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 216/645, 8160/9890

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 216/645, 8160/9890?

Answer: GCF of Numerators as per given numbers 216/645, 8160/9890 is

GCF of Numerators i.e. for 216,8160 is 24

LCM of denominators i.e. for 645,9890 is 29670.

Thus, GCF of Fractions is 24/29670.Finally, GCF of Fractions for 216/645, 8160/9890 is 24/29670.