Greatest Common Factor of 1338/448, 8145/3003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1338/448, 8145/3003

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 1338/448,8145/3003

Given fractions are 1338/448,8145/3003

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 1338,8145

Greatest Common Factor of Numerators i.e. GCF of 1338,8145 is 3 .

LCM of Denominators means LCM of 448,3003 as per the given fractions.

LCM of 448,3003 is 192192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1338,8145

GCF of Fractions 1338/448,8145/3003 is 3/192192

3 1338, 8145
446, 2715

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1338,8145 By Matching Biggest Common Factor Method

Greatest Common Factor of 1338,8145 By Matching Biggest Common Factor Method

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

Factors of 8145

List of positive integer factors of 8145 that divides 8145 without a remainder.

1,3,5,9,15,45,181,543,905,1629,2715,8145

Greatest Common Factor

We found the factors 1338,8145 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,8145 is 3.

Lets's calculate LCM of 448,3003

7 448, 3003
64, 429

∴ So the LCM of the given numbers is 7 x 64 x 429 = 192192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/192192

Therefore, the GCF of Fractions 1338/448,8145/3003 is 3/192192

Least Common Multiple of 448,3003 with GCF Formula

Least Common Multiple of 448,3003 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 448,3003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,3003) = 7

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

GCF(448,3003) x common factors =7 x 1 = 7

LCM(448,3003) = ( 448 × 3003 ) / 7

LCM(448,3003) = 1345344 / 7

LCM(448,3003) = 192192


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 1338/448, 8145/3003

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 1338/448, 8145/3003?

Answer: GCF of Numerators as per given numbers 1338/448, 8145/3003 is

GCF of Numerators i.e. for 1338,8145 is 3

LCM of denominators i.e. for 448,3003 is 192192.

Thus, GCF of Fractions is 3/192192.Finally, GCF of Fractions for 1338/448, 8145/3003 is 3/192192.