Greatest Common Factor of 4738/861, 6594/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4738/861, 6594/360

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 4738/861,6594/360

Given fractions are 4738/861,6594/360

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 4738,6594

Greatest Common Factor of Numerators i.e. GCF of 4738,6594 is 2 .

LCM of Denominators means LCM of 861,360 as per the given fractions.

LCM of 861,360 is 103320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4738,6594

GCF of Fractions 4738/861,6594/360 is 2/103320

2 4738, 6594
2369, 3297

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

Greatest Common Factor of 4738,6594 By Matching Biggest Common Factor Method

Greatest Common Factor of 4738,6594 By Matching Biggest Common Factor Method

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Factors of 6594

List of positive integer factors of 6594 that divides 6594 without a remainder.

1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594

Greatest Common Factor

We found the factors 4738,6594 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,6594 is 2.

Lets's calculate LCM of 861,360

3 861, 360
287, 120

∴ So the LCM of the given numbers is 3 x 287 x 120 = 103320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103320

Therefore, the GCF of Fractions 4738/861,6594/360 is 2/103320

Least Common Multiple of 861,360 with GCF Formula

Least Common Multiple of 861,360 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 861,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,360) = 3

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

GCF(861,360) x common factors =3 x 1 = 3

LCM(861,360) = ( 861 × 360 ) / 3

LCM(861,360) = 309960 / 3

LCM(861,360) = 103320


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 4738/861, 6594/360

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 4738/861, 6594/360?

Answer: GCF of Numerators as per given numbers 4738/861, 6594/360 is

GCF of Numerators i.e. for 4738,6594 is 2

LCM of denominators i.e. for 861,360 is 103320.

Thus, GCF of Fractions is 2/103320.Finally, GCF of Fractions for 4738/861, 6594/360 is 2/103320.