Greatest Common Factor of 6444/69, 4778/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6444/69, 4778/168

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 6444/69,4778/168

Given fractions are 6444/69,4778/168

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 6444,4778

Greatest Common Factor of Numerators i.e. GCF of 6444,4778 is 2 .

LCM of Denominators means LCM of 69,168 as per the given fractions.

LCM of 69,168 is 3864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6444,4778

GCF of Fractions 6444/69,4778/168 is 2/3864

2 6444, 4778
3222, 2389

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

Greatest Common Factor of 6444,4778 By Matching Biggest Common Factor Method

Greatest Common Factor of 6444,4778 By Matching Biggest Common Factor Method

Factors of 6444

List of positive integer factors of 6444 that divides 6444 without a remainder.

1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444

Factors of 4778

List of positive integer factors of 4778 that divides 4778 without a remainder.

1,2,2389,4778

Greatest Common Factor

We found the factors 6444,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 6444,4778 is 2.

Lets's calculate LCM of 69,168

3 69, 168
23, 56

∴ So the LCM of the given numbers is 3 x 23 x 56 = 3864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3864

Therefore, the GCF of Fractions 6444/69,4778/168 is 2/3864

Least Common Multiple of 69,168 with GCF Formula

Least Common Multiple of 69,168 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 69,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,168) = 3

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

GCF(69,168) x common factors =3 x 1 = 3

LCM(69,168) = ( 69 × 168 ) / 3

LCM(69,168) = 11592 / 3

LCM(69,168) = 3864


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 6444/69, 4778/168

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 6444/69, 4778/168?

Answer: GCF of Numerators as per given numbers 6444/69, 4778/168 is

GCF of Numerators i.e. for 6444,4778 is 2

LCM of denominators i.e. for 69,168 is 3864.

Thus, GCF of Fractions is 2/3864.Finally, GCF of Fractions for 6444/69, 4778/168 is 2/3864.