How to Find GCF of 9884/666, 3863/2518?

GCF of 9884/666, 3863/2518

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 9884/666, 3863/2518 i.e 1/838494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9884/666, 3863/2518.

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 9884/666,3863/2518?

Given fractions are 9884/666,3863/2518

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 9884/666,3863/2518, numerators are 9884,3863

Denominators are 666,2518

The GCF of 9884,3863 is 1 .

LCM of 666,2518 is 838494.

The greatest common factor of 9884/666,3863/2518 = [GCF of 9884,3863]/[LCM of 666,2518]= 1/838494

Therefore, the GCF of 9884/666,3863/2518 is 1/838494.

Greatest Common Factor of 9884,3863

To find the highest common factor of 9884,3863, we have to find the factors of both numbers and list the highest common factor.

The factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

The factors of 3863 are 1, 3863

The HCF of 9884,3863 is 1.

Lets's calculate GCF of 9884,3863

Greatest Common Factor (GCF) of 9884,3863 By Common Division

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

Greatest Common Factor of 9884,3863 By Matching Biggest Common Factor Method

Now, list down the factors of 9884

1,2,4,7,14,28,353,706,1412,2471,4942,9884

Now, list down the factors of 3863

1,3863

Greatest Common Factor

We found the factors 9884,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,3863 is 1.

Lets's calculate LCM of 666,2518

Lowest Common Multiple of 666,2518 using Common Division

2	666, 2518
	333, 1259

∴ So the LCM of the given numbers is 2 x 333 x 1259 = 838494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/838494

Therefore, the GCF of Fractions 9884/666,3863/2518 is 1/838494

Least Common Multiple of 666,2518 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 666,2518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,2518) = 2

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

GCF(666,2518) x common factors =2 x 1 = 2

LCM(666,2518) = ( 666 × 2518 ) / 2

LCM(666,2518) = 1676988 / 2

LCM(666,2518) = 838494

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FAQs on GCF of Fractions of 9884/666, 3863/2518

1. What is the HCF of 9884,3863?

The HCF of 9884,3863 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 9884/666, 3863/2518?

Answer: GCF of Numerators as per given numbers 9884/666, 3863/2518 is

GCF of Numerators i.e. for 9884,3863 is 1

LCM of denominators i.e. for 666,2518 is 838494.

Thus, GCF of Fractions is 1/838494.Finally, GCF of Fractions for 9884/666, 3863/2518 is 1/838494.