How to Find GCF of 6805/443, 4327/6928?

GCF of 6805/443, 4327/6928

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/443, 4327/6928 i.e 1/3069104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/443, 4327/6928.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6805/443,4327/6928?

Given fractions are 6805/443,4327/6928

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6805/443,4327/6928, numerators are 6805,4327

Denominators are 443,6928

The GCF of 6805,4327 is 1 .

LCM of 443,6928 is 3069104.

The greatest common factor of 6805/443,4327/6928 = [GCF of 6805,4327]/[LCM of 443,6928]= 1/3069104

Therefore, the GCF of 6805/443,4327/6928 is 1/3069104.

Greatest Common Factor of 6805,4327

To find the highest common factor of 6805,4327, we have to find the factors of both numbers and list the highest common factor.

The factors of 6805 are 1, 5, 1361, 6805

The factors of 4327 are 1, 4327

The HCF of 6805,4327 is 1.

Lets's calculate GCF of 6805,4327

Greatest Common Factor (GCF) of 6805,4327 By Common Division

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

Greatest Common Factor of 6805,4327 By Matching Biggest Common Factor Method

Now, list down the factors of 6805

1,5,1361,6805

Now, list down the factors of 4327

1,4327

Greatest Common Factor

We found the factors 6805,4327 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,4327 is 1.

Lets's calculate LCM of 443,6928

Lowest Common Multiple of 443,6928 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3069104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3069104

Therefore, the GCF of Fractions 6805/443,4327/6928 is 1/3069104

Least Common Multiple of 443,6928 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 443,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,6928) = 1

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

GCF(443,6928) x common factors =1 x 1 = 1

LCM(443,6928) = ( 443 × 6928 ) / 1

LCM(443,6928) = 3069104 / 1

LCM(443,6928) = 3069104

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FAQs on GCF of Fractions of 6805/443, 4327/6928

1. What is the HCF of 6805,4327?

The HCF of 6805,4327 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6805/443, 4327/6928?

Answer: GCF of Numerators as per given numbers 6805/443, 4327/6928 is

GCF of Numerators i.e. for 6805,4327 is 1

LCM of denominators i.e. for 443,6928 is 3069104.

Thus, GCF of Fractions is 1/3069104.Finally, GCF of Fractions for 6805/443, 4327/6928 is 1/3069104.