Greatest Common Factor of 4241/864, 3991/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4241/864, 3991/738

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 4241/864,3991/738

Given fractions are 4241/864,3991/738

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 4241,3991

Greatest Common Factor of Numerators i.e. GCF of 4241,3991 is 1 .

LCM of Denominators means LCM of 864,738 as per the given fractions.

LCM of 864,738 is 35424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4241,3991

GCF of Fractions 4241/864,3991/738 is 1/35424

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

Greatest Common Factor of 4241,3991 By Matching Biggest Common Factor Method

Greatest Common Factor of 4241,3991 By Matching Biggest Common Factor Method

Factors of 4241

List of positive integer factors of 4241 that divides 4241 without a remainder.

1,4241

Factors of 3991

List of positive integer factors of 3991 that divides 3991 without a remainder.

1,13,307,3991

Greatest Common Factor

We found the factors 4241,3991 . The biggest common factor number is the GCF number.
So the greatest common factor 4241,3991 is 1.

Lets's calculate LCM of 864,738

2 864, 738
3 432, 369
3 144, 123
48, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 48 x 41 = 35424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35424

Therefore, the GCF of Fractions 4241/864,3991/738 is 1/35424

Least Common Multiple of 864,738 with GCF Formula

Least Common Multiple of 864,738 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 864,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,738) = 18

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

GCF(864,738) x common factors =18 x 1 = 18

LCM(864,738) = ( 864 × 738 ) / 18

LCM(864,738) = 637632 / 18

LCM(864,738) = 35424


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 4241/864, 3991/738

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 4241/864, 3991/738?

Answer: GCF of Numerators as per given numbers 4241/864, 3991/738 is

GCF of Numerators i.e. for 4241,3991 is 1

LCM of denominators i.e. for 864,738 is 35424.

Thus, GCF of Fractions is 1/35424.Finally, GCF of Fractions for 4241/864, 3991/738 is 1/35424.