Greatest Common Factor of 3930/463, 5819/4240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3930/463, 5819/4240

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 3930/463,5819/4240

Given fractions are 3930/463,5819/4240

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 3930,5819

Greatest Common Factor of Numerators i.e. GCF of 3930,5819 is 1 .

LCM of Denominators means LCM of 463,4240 as per the given fractions.

LCM of 463,4240 is 1963120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3930,5819

GCF of Fractions 3930/463,5819/4240 is 1/1963120

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3930,5819 By Matching Biggest Common Factor Method

Greatest Common Factor of 3930,5819 By Matching Biggest Common Factor Method

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 3930,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 3930,5819 is 1.

Lets's calculate LCM of 463,4240

Given numbers has no common factors except 1. So, there LCM is their product i.e 1963120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963120

Therefore, the GCF of Fractions 3930/463,5819/4240 is 1/1963120

Least Common Multiple of 463,4240 with GCF Formula

Least Common Multiple of 463,4240 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 463,4240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,4240) = 1

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

GCF(463,4240) x common factors =1 x 1 = 1

LCM(463,4240) = ( 463 × 4240 ) / 1

LCM(463,4240) = 1963120 / 1

LCM(463,4240) = 1963120


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 3930/463, 5819/4240

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 3930/463, 5819/4240?

Answer: GCF of Numerators as per given numbers 3930/463, 5819/4240 is

GCF of Numerators i.e. for 3930,5819 is 1

LCM of denominators i.e. for 463,4240 is 1963120.

Thus, GCF of Fractions is 1/1963120.Finally, GCF of Fractions for 3930/463, 5819/4240 is 1/1963120.