Greatest Common Factor of 806/96, 549/43, 443/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/96, 549/43, 443/846

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 806/96,549/43,443/846

Given fractions are 806/96,549/43,443/846

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 806,549,443

Greatest Common Factor of Numerators i.e. GCF of 806,549,443 is 1 .

LCM of Denominators means LCM of 96,43,846 as per the given fractions.

LCM of 96,43,846 is 582048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,549,443

GCF of Fractions 806/96,549/43,443/846 is 1/582048

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 806,549,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,549,443 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 806,549,443 . The biggest common factor number is the GCF number.
So the greatest common factor 806,549,443 is 1.

Lets's calculate LCM of 96,43,846

2 96, 43, 846
3 48, 43, 423
16, 43, 141

∴ So the LCM of the given numbers is 2 x 3 x 16 x 43 x 141 = 582048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/582048

Therefore, the GCF of Fractions 806/96,549/43,443/846 is 1/582048

Least Common Multiple of 96,43,846 with GCF Formula

Least Common Multiple of 96,43,846 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 96,43,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,43,846) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,43,846) x common factors =1 x 6 = 6

LCM(96,43,846) = ( 96 × 43 × 846 ) / 6

LCM(96,43,846) = 3492288 / 6

LCM(96,43,846) = 582048


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 806/96, 549/43, 443/846

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 806/96, 549/43, 443/846?

Answer: GCF of Numerators as per given numbers 806/96, 549/43, 443/846 is

GCF of Numerators i.e. for 806,549,443 is 1

LCM of denominators i.e. for 96,43,846 is 582048.

Thus, GCF of Fractions is 1/582048.Finally, GCF of Fractions for 806/96, 549/43, 443/846 is 1/582048.