Greatest Common Factor of 805/64, 480/21, 240/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 805/64, 480/21, 240/40

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 805/64,480/21,240/40

Given fractions are 805/64,480/21,240/40

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 805,480,240

Greatest Common Factor of Numerators i.e. GCF of 805,480,240 is 5 .

LCM of Denominators means LCM of 64,21,40 as per the given fractions.

LCM of 64,21,40 is 6720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 805,480,240

GCF of Fractions 805/64,480/21,240/40 is 5/6720

5 805, 480, 240
161, 96, 48

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 805,480,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,480,240 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 805,480,240 . The biggest common factor number is the GCF number.
So the greatest common factor 805,480,240 is 5.

Lets's calculate LCM of 64,21,40

2 64, 21, 40
2 32, 21, 20
2 16, 21, 10
8, 21, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 21 x 5 = 6720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6720

Therefore, the GCF of Fractions 805/64,480/21,240/40 is 5/6720

Least Common Multiple of 64,21,40 with GCF Formula

Least Common Multiple of 64,21,40 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 64,21,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,21,40) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,21,40) x common factors =1 x 8 = 8

LCM(64,21,40) = ( 64 × 21 × 40 ) / 8

LCM(64,21,40) = 53760 / 8

LCM(64,21,40) = 6720


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 805/64, 480/21, 240/40

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 805/64, 480/21, 240/40?

Answer: GCF of Numerators as per given numbers 805/64, 480/21, 240/40 is

GCF of Numerators i.e. for 805,480,240 is 5

LCM of denominators i.e. for 64,21,40 is 6720.

Thus, GCF of Fractions is 5/6720.Finally, GCF of Fractions for 805/64, 480/21, 240/40 is 5/6720.