Greatest Common Factor of 4028/442, 4766/7943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4028/442, 4766/7943

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 4028/442,4766/7943

Given fractions are 4028/442,4766/7943

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 4028,4766

Greatest Common Factor of Numerators i.e. GCF of 4028,4766 is 2 .

LCM of Denominators means LCM of 442,7943 as per the given fractions.

LCM of 442,7943 is 270062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4028,4766

GCF of Fractions 4028/442,4766/7943 is 2/270062

2 4028, 4766
2014, 2383

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

Greatest Common Factor of 4028,4766 By Matching Biggest Common Factor Method

Greatest Common Factor of 4028,4766 By Matching Biggest Common Factor Method

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1,2,4,19,38,53,76,106,212,1007,2014,4028

Factors of 4766

List of positive integer factors of 4766 that divides 4766 without a remainder.

1,2,2383,4766

Greatest Common Factor

We found the factors 4028,4766 . The biggest common factor number is the GCF number.
So the greatest common factor 4028,4766 is 2.

Lets's calculate LCM of 442,7943

13 442, 7943
34, 611

∴ So the LCM of the given numbers is 13 x 34 x 611 = 270062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270062

Therefore, the GCF of Fractions 4028/442,4766/7943 is 2/270062

Least Common Multiple of 442,7943 with GCF Formula

Least Common Multiple of 442,7943 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 442,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,7943) = 13

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

GCF(442,7943) x common factors =13 x 1 = 13

LCM(442,7943) = ( 442 × 7943 ) / 13

LCM(442,7943) = 3510806 / 13

LCM(442,7943) = 270062


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 4028/442, 4766/7943

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 4028/442, 4766/7943?

Answer: GCF of Numerators as per given numbers 4028/442, 4766/7943 is

GCF of Numerators i.e. for 4028,4766 is 2

LCM of denominators i.e. for 442,7943 is 270062.

Thus, GCF of Fractions is 2/270062.Finally, GCF of Fractions for 4028/442, 4766/7943 is 2/270062.