Greatest Common Factor of 3818/829, 7458/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3818/829, 7458/483

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 3818/829,7458/483

Given fractions are 3818/829,7458/483

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 3818,7458

Greatest Common Factor of Numerators i.e. GCF of 3818,7458 is 2 .

LCM of Denominators means LCM of 829,483 as per the given fractions.

LCM of 829,483 is 400407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3818,7458

GCF of Fractions 3818/829,7458/483 is 2/400407

2 3818, 7458
1909, 3729

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

Greatest Common Factor of 3818,7458 By Matching Biggest Common Factor Method

Greatest Common Factor of 3818,7458 By Matching Biggest Common Factor Method

Factors of 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1,2,23,46,83,166,1909,3818

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Greatest Common Factor

We found the factors 3818,7458 . The biggest common factor number is the GCF number.
So the greatest common factor 3818,7458 is 2.

Lets's calculate LCM of 829,483

Given numbers has no common factors except 1. So, there LCM is their product i.e 400407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400407

Therefore, the GCF of Fractions 3818/829,7458/483 is 2/400407

Least Common Multiple of 829,483 with GCF Formula

Least Common Multiple of 829,483 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 829,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,483) = 1

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

GCF(829,483) x common factors =1 x 1 = 1

LCM(829,483) = ( 829 × 483 ) / 1

LCM(829,483) = 400407 / 1

LCM(829,483) = 400407


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 3818/829, 7458/483

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 3818/829, 7458/483?

Answer: GCF of Numerators as per given numbers 3818/829, 7458/483 is

GCF of Numerators i.e. for 3818,7458 is 2

LCM of denominators i.e. for 829,483 is 400407.

Thus, GCF of Fractions is 2/400407.Finally, GCF of Fractions for 3818/829, 7458/483 is 2/400407.