How to Find GCF of 4441/663, 6255/1394?

GCF of 4441/663, 6255/1394

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 4441/663, 6255/1394 i.e 1/54366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4441/663, 6255/1394.

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 4441/663,6255/1394?

Given fractions are 4441/663,6255/1394

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 4441/663,6255/1394, numerators are 4441,6255

Denominators are 663,1394

The GCF of 4441,6255 is 1 .

LCM of 663,1394 is 54366.

The greatest common factor of 4441/663,6255/1394 = [GCF of 4441,6255]/[LCM of 663,1394]= 1/54366

Therefore, the GCF of 4441/663,6255/1394 is 1/54366.

Greatest Common Factor of 4441,6255

To find the highest common factor of 4441,6255, we have to find the factors of both numbers and list the highest common factor.

The factors of 4441 are 1, 4441

The factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255

The HCF of 4441,6255 is 1.

Lets's calculate GCF of 4441,6255

Greatest Common Factor (GCF) of 4441,6255 By Common Division

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

Greatest Common Factor of 4441,6255 By Matching Biggest Common Factor Method

Now, list down the factors of 4441

1,4441

Now, list down the factors of 6255

1,3,5,9,15,45,139,417,695,1251,2085,6255

Greatest Common Factor

We found the factors 4441,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 4441,6255 is 1.

Lets's calculate LCM of 663,1394

Lowest Common Multiple of 663,1394 using Common Division

17	663, 1394
	39, 82

∴ So the LCM of the given numbers is 17 x 39 x 82 = 54366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54366

Therefore, the GCF of Fractions 4441/663,6255/1394 is 1/54366

Least Common Multiple of 663,1394 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 663,1394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,1394) = 17

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

GCF(663,1394) x common factors =17 x 1 = 17

LCM(663,1394) = ( 663 × 1394 ) / 17

LCM(663,1394) = 924222 / 17

LCM(663,1394) = 54366

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FAQs on GCF of Fractions of 4441/663, 6255/1394

1. What is the HCF of 4441,6255?

The HCF of 4441,6255 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 4441/663, 6255/1394?

Answer: GCF of Numerators as per given numbers 4441/663, 6255/1394 is

GCF of Numerators i.e. for 4441,6255 is 1

LCM of denominators i.e. for 663,1394 is 54366.

Thus, GCF of Fractions is 1/54366.Finally, GCF of Fractions for 4441/663, 6255/1394 is 1/54366.