Greatest Common Factor of 5443/32, 4285/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5443/32, 4285/205

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 5443/32,4285/205

Given fractions are 5443/32,4285/205

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 5443,4285

Greatest Common Factor of Numerators i.e. GCF of 5443,4285 is 1 .

LCM of Denominators means LCM of 32,205 as per the given fractions.

LCM of 32,205 is 6560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5443,4285

GCF of Fractions 5443/32,4285/205 is 1/6560

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

Greatest Common Factor of 5443,4285 By Matching Biggest Common Factor Method

Greatest Common Factor of 5443,4285 By Matching Biggest Common Factor Method

Factors of 5443

List of positive integer factors of 5443 that divides 5443 without a remainder.

1,5443

Factors of 4285

List of positive integer factors of 4285 that divides 4285 without a remainder.

1,5,857,4285

Greatest Common Factor

We found the factors 5443,4285 . The biggest common factor number is the GCF number.
So the greatest common factor 5443,4285 is 1.

Lets's calculate LCM of 32,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 6560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6560

Therefore, the GCF of Fractions 5443/32,4285/205 is 1/6560

Least Common Multiple of 32,205 with GCF Formula

Least Common Multiple of 32,205 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 32,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,205) = 1

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

GCF(32,205) x common factors =1 x 1 = 1

LCM(32,205) = ( 32 × 205 ) / 1

LCM(32,205) = 6560 / 1

LCM(32,205) = 6560


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 5443/32, 4285/205

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 5443/32, 4285/205?

Answer: GCF of Numerators as per given numbers 5443/32, 4285/205 is

GCF of Numerators i.e. for 5443,4285 is 1

LCM of denominators i.e. for 32,205 is 6560.

Thus, GCF of Fractions is 1/6560.Finally, GCF of Fractions for 5443/32, 4285/205 is 1/6560.