How to Find GCF of 8866/713, 9887/5589?

GCF of 8866/713, 9887/5589

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 8866/713, 9887/5589 i.e 1/173259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8866/713, 9887/5589.

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 8866/713,9887/5589?

Given fractions are 8866/713,9887/5589

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 8866/713,9887/5589, numerators are 8866,9887

Denominators are 713,5589

The GCF of 8866,9887 is 1 .

LCM of 713,5589 is 173259.

The greatest common factor of 8866/713,9887/5589 = [GCF of 8866,9887]/[LCM of 713,5589]= 1/173259

Therefore, the GCF of 8866/713,9887/5589 is 1/173259.

Greatest Common Factor of 8866,9887

To find the highest common factor of 8866,9887, we have to find the factors of both numbers and list the highest common factor.

The factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866

The factors of 9887 are 1, 9887

The HCF of 8866,9887 is 1.

Lets's calculate GCF of 8866,9887

Greatest Common Factor (GCF) of 8866,9887 By Common Division

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

Greatest Common Factor of 8866,9887 By Matching Biggest Common Factor Method

Now, list down the factors of 8866

1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866

Now, list down the factors of 9887

1,9887

Greatest Common Factor

We found the factors 8866,9887 . The biggest common factor number is the GCF number.
So the greatest common factor 8866,9887 is 1.

Lets's calculate LCM of 713,5589

Lowest Common Multiple of 713,5589 using Common Division

23	713, 5589
	31, 243

∴ So the LCM of the given numbers is 23 x 31 x 243 = 173259

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173259

Therefore, the GCF of Fractions 8866/713,9887/5589 is 1/173259

Least Common Multiple of 713,5589 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 713,5589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,5589) = 23

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

GCF(713,5589) x common factors =23 x 1 = 23

LCM(713,5589) = ( 713 × 5589 ) / 23

LCM(713,5589) = 3984957 / 23

LCM(713,5589) = 173259

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8866/713, 9887/5589

1. What is the HCF of 8866,9887?

The HCF of 8866,9887 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 8866/713, 9887/5589?

Answer: GCF of Numerators as per given numbers 8866/713, 9887/5589 is

GCF of Numerators i.e. for 8866,9887 is 1

LCM of denominators i.e. for 713,5589 is 173259.

Thus, GCF of Fractions is 1/173259.Finally, GCF of Fractions for 8866/713, 9887/5589 is 1/173259.