Greatest Common Factor of 8686/164, 9960/2814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8686/164, 9960/2814

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8686/164,9960/2814

Given fractions are 8686/164,9960/2814

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8686,9960

Greatest Common Factor of Numerators i.e. GCF of 8686,9960 is 2 .

LCM of Denominators means LCM of 164,2814 as per the given fractions.

LCM of 164,2814 is 230748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8686,9960

GCF of Fractions 8686/164,9960/2814 is 2/230748

2 8686, 9960
4343, 4980

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8686,9960 By Matching Biggest Common Factor Method

Greatest Common Factor of 8686,9960 By Matching Biggest Common Factor Method

Factors of 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1,2,43,86,101,202,4343,8686

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Greatest Common Factor

We found the factors 8686,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 8686,9960 is 2.

Lets's calculate LCM of 164,2814

2 164, 2814
82, 1407

∴ So the LCM of the given numbers is 2 x 82 x 1407 = 230748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230748

Therefore, the GCF of Fractions 8686/164,9960/2814 is 2/230748

Least Common Multiple of 164,2814 with GCF Formula

Least Common Multiple of 164,2814 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 164,2814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,2814) = 2

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

GCF(164,2814) x common factors =2 x 1 = 2

LCM(164,2814) = ( 164 × 2814 ) / 2

LCM(164,2814) = 461496 / 2

LCM(164,2814) = 230748


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8686/164, 9960/2814

1. 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.

2. What is the GCF of Fractions for 8686/164, 9960/2814?

Answer: GCF of Numerators as per given numbers 8686/164, 9960/2814 is

GCF of Numerators i.e. for 8686,9960 is 2

LCM of denominators i.e. for 164,2814 is 230748.

Thus, GCF of Fractions is 2/230748.Finally, GCF of Fractions for 8686/164, 9960/2814 is 2/230748.