Greatest Common Factor of 4730/87, 7864/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4730/87, 7864/168

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 4730/87,7864/168

Given fractions are 4730/87,7864/168

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 4730,7864

Greatest Common Factor of Numerators i.e. GCF of 4730,7864 is 2 .

LCM of Denominators means LCM of 87,168 as per the given fractions.

LCM of 87,168 is 4872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4730,7864

GCF of Fractions 4730/87,7864/168 is 2/4872

2 4730, 7864
2365, 3932

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

Greatest Common Factor of 4730,7864 By Matching Biggest Common Factor Method

Greatest Common Factor of 4730,7864 By Matching Biggest Common Factor Method

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730

Factors of 7864

List of positive integer factors of 7864 that divides 7864 without a remainder.

1,2,4,8,983,1966,3932,7864

Greatest Common Factor

We found the factors 4730,7864 . The biggest common factor number is the GCF number.
So the greatest common factor 4730,7864 is 2.

Lets's calculate LCM of 87,168

3 87, 168
29, 56

∴ So the LCM of the given numbers is 3 x 29 x 56 = 4872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4872

Therefore, the GCF of Fractions 4730/87,7864/168 is 2/4872

Least Common Multiple of 87,168 with GCF Formula

Least Common Multiple of 87,168 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 87,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,168) = 3

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

GCF(87,168) x common factors =3 x 1 = 3

LCM(87,168) = ( 87 × 168 ) / 3

LCM(87,168) = 14616 / 3

LCM(87,168) = 4872


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 4730/87, 7864/168

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 4730/87, 7864/168?

Answer: GCF of Numerators as per given numbers 4730/87, 7864/168 is

GCF of Numerators i.e. for 4730,7864 is 2

LCM of denominators i.e. for 87,168 is 4872.

Thus, GCF of Fractions is 2/4872.Finally, GCF of Fractions for 4730/87, 7864/168 is 2/4872.