Greatest Common Factor of 6478/330, 8828/4787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6478/330, 8828/4787

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 6478/330,8828/4787

Given fractions are 6478/330,8828/4787

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 6478,8828

Greatest Common Factor of Numerators i.e. GCF of 6478,8828 is 2 .

LCM of Denominators means LCM of 330,4787 as per the given fractions.

LCM of 330,4787 is 1579710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6478,8828

GCF of Fractions 6478/330,8828/4787 is 2/1579710

2 6478, 8828
3239, 4414

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

Greatest Common Factor of 6478,8828 By Matching Biggest Common Factor Method

Greatest Common Factor of 6478,8828 By Matching Biggest Common Factor Method

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1,2,4,2207,4414,8828

Greatest Common Factor

We found the factors 6478,8828 . The biggest common factor number is the GCF number.
So the greatest common factor 6478,8828 is 2.

Lets's calculate LCM of 330,4787

Given numbers has no common factors except 1. So, there LCM is their product i.e 1579710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1579710

Therefore, the GCF of Fractions 6478/330,8828/4787 is 2/1579710

Least Common Multiple of 330,4787 with GCF Formula

Least Common Multiple of 330,4787 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 330,4787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,4787) = 1

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

GCF(330,4787) x common factors =1 x 1 = 1

LCM(330,4787) = ( 330 × 4787 ) / 1

LCM(330,4787) = 1579710 / 1

LCM(330,4787) = 1579710


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 6478/330, 8828/4787

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 6478/330, 8828/4787?

Answer: GCF of Numerators as per given numbers 6478/330, 8828/4787 is

GCF of Numerators i.e. for 6478,8828 is 2

LCM of denominators i.e. for 330,4787 is 1579710.

Thus, GCF of Fractions is 2/1579710.Finally, GCF of Fractions for 6478/330, 8828/4787 is 2/1579710.