Greatest Common Factor of 8006/828, 4138/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8006/828, 4138/282

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 8006/828,4138/282

Given fractions are 8006/828,4138/282

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 8006,4138

Greatest Common Factor of Numerators i.e. GCF of 8006,4138 is 2 .

LCM of Denominators means LCM of 828,282 as per the given fractions.

LCM of 828,282 is 38916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8006,4138

GCF of Fractions 8006/828,4138/282 is 2/38916

2 8006, 4138
4003, 2069

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

Greatest Common Factor of 8006,4138 By Matching Biggest Common Factor Method

Greatest Common Factor of 8006,4138 By Matching Biggest Common Factor Method

Factors of 8006

List of positive integer factors of 8006 that divides 8006 without a remainder.

1,2,4003,8006

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Greatest Common Factor

We found the factors 8006,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 8006,4138 is 2.

Lets's calculate LCM of 828,282

2 828, 282
3 414, 141
138, 47

∴ So the LCM of the given numbers is 2 x 3 x 138 x 47 = 38916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38916

Therefore, the GCF of Fractions 8006/828,4138/282 is 2/38916

Least Common Multiple of 828,282 with GCF Formula

Least Common Multiple of 828,282 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 828,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,282) = 6

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

GCF(828,282) x common factors =6 x 1 = 6

LCM(828,282) = ( 828 × 282 ) / 6

LCM(828,282) = 233496 / 6

LCM(828,282) = 38916


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 8006/828, 4138/282

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 8006/828, 4138/282?

Answer: GCF of Numerators as per given numbers 8006/828, 4138/282 is

GCF of Numerators i.e. for 8006,4138 is 2

LCM of denominators i.e. for 828,282 is 38916.

Thus, GCF of Fractions is 2/38916.Finally, GCF of Fractions for 8006/828, 4138/282 is 2/38916.