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GCF of 4471/394, 6691/4543

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 4471/394, 6691/4543 i.e 1/1789942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4471/394, 6691/4543.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 4471/394,6691/4543?

Given fractions are 4471/394,6691/4543

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 4471/394,6691/4543, numerators are 4471,6691

Denominators are 394,4543

The GCF of 4471,6691 is 1 .

LCM of 394,4543 is 1789942.

The greatest common factor of 4471/394,6691/4543 = [GCF of 4471,6691]/[LCM of 394,4543]= 1/1789942

Therefore, the GCF of 4471/394,6691/4543 is 1/1789942.

Greatest Common Factor of 4471,6691

To find the highest common factor of 4471,6691, we have to find the factors of both numbers and list the highest common factor.

The factors of 4471 are 1, 17, 263, 4471

The factors of 6691 are 1, 6691

The HCF of 4471,6691 is 1.

Lets's calculate GCF of 4471,6691

Greatest Common Factor (GCF) of 4471,6691 By Common Division

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

Greatest Common Factor of 4471,6691 By Matching Biggest Common Factor Method

Greatest Common Factor of 4471,6691 By Matching Biggest Common Factor Method

Now, list down the factors of 4471

:

1,17,263,4471

Now, list down the factors of 6691

:

1,6691

Greatest Common Factor

We found the factors 4471,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 4471,6691 is 1.

Lets's calculate LCM of 394,4543

Lowest Common Multiple of 394,4543 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1789942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1789942

Therefore, the GCF of Fractions 4471/394,6691/4543 is 1/1789942

Least Common Multiple of 394,4543 with GCF Formula

Least Common Multiple of 394,4543 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 394,4543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,4543) = 1

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

GCF(394,4543) x common factors =1 x 1 = 1

LCM(394,4543) = ( 394 × 4543 ) / 1

LCM(394,4543) = 1789942 / 1

LCM(394,4543) = 1789942


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FAQs on GCF of Fractions of 4471/394, 6691/4543

1. What is the HCF of 4471,6691?

The HCF of 4471,6691 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 4471/394, 6691/4543?

Answer: GCF of Numerators as per given numbers 4471/394, 6691/4543 is

GCF of Numerators i.e. for 4471,6691 is 1

LCM of denominators i.e. for 394,4543 is 1789942.

Thus, GCF of Fractions is 1/1789942.Finally, GCF of Fractions for 4471/394, 6691/4543 is 1/1789942.