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GCF of 8916/666, 8367/8870

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 8916/666, 8367/8870 i.e 3/2953710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8916/666, 8367/8870.

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 8916/666,8367/8870?

Given fractions are 8916/666,8367/8870

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 8916/666,8367/8870, numerators are 8916,8367

Denominators are 666,8870

The GCF of 8916,8367 is 3 .

LCM of 666,8870 is 2953710.

The greatest common factor of 8916/666,8367/8870 = [GCF of 8916,8367]/[LCM of 666,8870]= 3/2953710

Therefore, the GCF of 8916/666,8367/8870 is 3/2953710.

Greatest Common Factor of 8916,8367

To find the highest common factor of 8916,8367, we have to find the factors of both numbers and list the highest common factor.

The factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916

The factors of 8367 are 1, 3, 2789, 8367

The HCF of 8916,8367 is 3.

Lets's calculate GCF of 8916,8367

Greatest Common Factor (GCF) of 8916,8367 By Common Division

3 8916, 8367
2972, 2789

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8916,8367 By Matching Biggest Common Factor Method

Greatest Common Factor of 8916,8367 By Matching Biggest Common Factor Method

Now, list down the factors of 8916

:

1,2,3,4,6,12,743,1486,2229,2972,4458,8916

Now, list down the factors of 8367

:

1,3,2789,8367

Greatest Common Factor

We found the factors 8916,8367 . The biggest common factor number is the GCF number.
So the greatest common factor 8916,8367 is 3.


Lets's calculate LCM of 666,8870

Lowest Common Multiple of 666,8870 using Common Division

2 666, 8870
333, 4435

∴ So the LCM of the given numbers is 2 x 333 x 4435 = 2953710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2953710

Therefore, the GCF of Fractions 8916/666,8367/8870 is 3/2953710

Least Common Multiple of 666,8870 with GCF Formula

Least Common Multiple of 666,8870 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 666,8870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,8870) = 2

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

GCF(666,8870) x common factors =2 x 1 = 2

LCM(666,8870) = ( 666 × 8870 ) / 2

LCM(666,8870) = 5907420 / 2

LCM(666,8870) = 2953710


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8916/666, 8367/8870

1. What is the HCF of 8916,8367?

The HCF of 8916,8367 is 3

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 8916/666, 8367/8870?

Answer: GCF of Numerators as per given numbers 8916/666, 8367/8870 is

GCF of Numerators i.e. for 8916,8367 is 3

LCM of denominators i.e. for 666,8870 is 2953710.

Thus, GCF of Fractions is 3/2953710.Finally, GCF of Fractions for 8916/666, 8367/8870 is 3/2953710.