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GCF of 8782/806, 3613/4459

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 8782/806, 3613/4459 i.e 1/276458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8782/806, 3613/4459.

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 8782/806,3613/4459?

Given fractions are 8782/806,3613/4459

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 8782/806,3613/4459, numerators are 8782,3613

Denominators are 806,4459

The GCF of 8782,3613 is 1 .

LCM of 806,4459 is 276458.

The greatest common factor of 8782/806,3613/4459 = [GCF of 8782,3613]/[LCM of 806,4459]= 1/276458

Therefore, the GCF of 8782/806,3613/4459 is 1/276458.

Greatest Common Factor of 8782,3613

To find the highest common factor of 8782,3613, we have to find the factors of both numbers and list the highest common factor.

The factors of 8782 are 1, 2, 4391, 8782

The factors of 3613 are 1, 3613

The HCF of 8782,3613 is 1.

Lets's calculate GCF of 8782,3613

Greatest Common Factor (GCF) of 8782,3613 By Common Division

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

Greatest Common Factor of 8782,3613 By Matching Biggest Common Factor Method

Greatest Common Factor of 8782,3613 By Matching Biggest Common Factor Method

Now, list down the factors of 8782

:

1,2,4391,8782

Now, list down the factors of 3613

:

1,3613

Greatest Common Factor

We found the factors 8782,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 8782,3613 is 1.


Lets's calculate LCM of 806,4459

Lowest Common Multiple of 806,4459 using Common Division

13 806, 4459
62, 343

∴ So the LCM of the given numbers is 13 x 62 x 343 = 276458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276458

Therefore, the GCF of Fractions 8782/806,3613/4459 is 1/276458

Least Common Multiple of 806,4459 with GCF Formula

Least Common Multiple of 806,4459 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 806,4459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,4459) = 13

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

GCF(806,4459) x common factors =13 x 1 = 13

LCM(806,4459) = ( 806 × 4459 ) / 13

LCM(806,4459) = 3593954 / 13

LCM(806,4459) = 276458


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8782/806, 3613/4459

1. What is the HCF of 8782,3613?

The HCF of 8782,3613 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 8782/806, 3613/4459?

Answer: GCF of Numerators as per given numbers 8782/806, 3613/4459 is

GCF of Numerators i.e. for 8782,3613 is 1

LCM of denominators i.e. for 806,4459 is 276458.

Thus, GCF of Fractions is 1/276458.Finally, GCF of Fractions for 8782/806, 3613/4459 is 1/276458.