Greatest Common Factor of 4158/40, 6386/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4158/40, 6386/380

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 4158/40,6386/380

Given fractions are 4158/40,6386/380

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 4158,6386

Greatest Common Factor of Numerators i.e. GCF of 4158,6386 is 2 .

LCM of Denominators means LCM of 40,380 as per the given fractions.

LCM of 40,380 is 760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4158,6386

GCF of Fractions 4158/40,6386/380 is 2/760

2 4158, 6386
2079, 3193

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

Greatest Common Factor of 4158,6386 By Matching Biggest Common Factor Method

Greatest Common Factor of 4158,6386 By Matching Biggest Common Factor Method

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Factors of 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1,2,31,62,103,206,3193,6386

Greatest Common Factor

We found the factors 4158,6386 . The biggest common factor number is the GCF number.
So the greatest common factor 4158,6386 is 2.

Lets's calculate LCM of 40,380

2 40, 380
2 20, 190
5 10, 95
2, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 19 = 760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/760

Therefore, the GCF of Fractions 4158/40,6386/380 is 2/760

Least Common Multiple of 40,380 with GCF Formula

Least Common Multiple of 40,380 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 40,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,380) = 20

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

GCF(40,380) x common factors =20 x 1 = 20

LCM(40,380) = ( 40 × 380 ) / 20

LCM(40,380) = 15200 / 20

LCM(40,380) = 760


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 4158/40, 6386/380

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 4158/40, 6386/380?

Answer: GCF of Numerators as per given numbers 4158/40, 6386/380 is

GCF of Numerators i.e. for 4158,6386 is 2

LCM of denominators i.e. for 40,380 is 760.

Thus, GCF of Fractions is 2/760.Finally, GCF of Fractions for 4158/40, 6386/380 is 2/760.