Greatest Common Factor of 6912/144, 3718/4611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6912/144, 3718/4611

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 6912/144,3718/4611

Given fractions are 6912/144,3718/4611

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 6912,3718

Greatest Common Factor of Numerators i.e. GCF of 6912,3718 is 2 .

LCM of Denominators means LCM of 144,4611 as per the given fractions.

LCM of 144,4611 is 221328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6912,3718

GCF of Fractions 6912/144,3718/4611 is 2/221328

2 6912, 3718
3456, 1859

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

Greatest Common Factor of 6912,3718 By Matching Biggest Common Factor Method

Greatest Common Factor of 6912,3718 By Matching Biggest Common Factor Method

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Greatest Common Factor

We found the factors 6912,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,3718 is 2.

Lets's calculate LCM of 144,4611

3 144, 4611
48, 1537

∴ So the LCM of the given numbers is 3 x 48 x 1537 = 221328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221328

Therefore, the GCF of Fractions 6912/144,3718/4611 is 2/221328

Least Common Multiple of 144,4611 with GCF Formula

Least Common Multiple of 144,4611 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 144,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,4611) = 3

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

GCF(144,4611) x common factors =3 x 1 = 3

LCM(144,4611) = ( 144 × 4611 ) / 3

LCM(144,4611) = 663984 / 3

LCM(144,4611) = 221328


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 6912/144, 3718/4611

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 6912/144, 3718/4611?

Answer: GCF of Numerators as per given numbers 6912/144, 3718/4611 is

GCF of Numerators i.e. for 6912,3718 is 2

LCM of denominators i.e. for 144,4611 is 221328.

Thus, GCF of Fractions is 2/221328.Finally, GCF of Fractions for 6912/144, 3718/4611 is 2/221328.