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GCF of 8885/663, 4363/9471

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 8885/663, 4363/9471 i.e 1/2093091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8885/663, 4363/9471.

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 8885/663,4363/9471?

Given fractions are 8885/663,4363/9471

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 8885/663,4363/9471, numerators are 8885,4363

Denominators are 663,9471

The GCF of 8885,4363 is 1 .

LCM of 663,9471 is 2093091.

The greatest common factor of 8885/663,4363/9471 = [GCF of 8885,4363]/[LCM of 663,9471]= 1/2093091

Therefore, the GCF of 8885/663,4363/9471 is 1/2093091.

Greatest Common Factor of 8885,4363

To find the highest common factor of 8885,4363, we have to find the factors of both numbers and list the highest common factor.

The factors of 8885 are 1, 5, 1777, 8885

The factors of 4363 are 1, 4363

The HCF of 8885,4363 is 1.

Lets's calculate GCF of 8885,4363

Greatest Common Factor (GCF) of 8885,4363 By Common Division

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

Greatest Common Factor of 8885,4363 By Matching Biggest Common Factor Method

Greatest Common Factor of 8885,4363 By Matching Biggest Common Factor Method

Now, list down the factors of 8885

:

1,5,1777,8885

Now, list down the factors of 4363

:

1,4363

Greatest Common Factor

We found the factors 8885,4363 . The biggest common factor number is the GCF number.
So the greatest common factor 8885,4363 is 1.

Lets's calculate LCM of 663,9471

Lowest Common Multiple of 663,9471 using Common Division

3 663, 9471
221, 3157

∴ So the LCM of the given numbers is 3 x 221 x 3157 = 2093091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2093091

Therefore, the GCF of Fractions 8885/663,4363/9471 is 1/2093091

Least Common Multiple of 663,9471 with GCF Formula

Least Common Multiple of 663,9471 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 663,9471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,9471) = 3

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

GCF(663,9471) x common factors =3 x 1 = 3

LCM(663,9471) = ( 663 × 9471 ) / 3

LCM(663,9471) = 6279273 / 3

LCM(663,9471) = 2093091


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FAQs on GCF of Fractions of 8885/663, 4363/9471

1. What is the HCF of 8885,4363?

The HCF of 8885,4363 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 8885/663, 4363/9471?

Answer: GCF of Numerators as per given numbers 8885/663, 4363/9471 is

GCF of Numerators i.e. for 8885,4363 is 1

LCM of denominators i.e. for 663,9471 is 2093091.

Thus, GCF of Fractions is 1/2093091.Finally, GCF of Fractions for 8885/663, 4363/9471 is 1/2093091.