Greatest Common Factor of 240/49, 288/3449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/49, 288/3449

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 240/49,288/3449

Given fractions are 240/49,288/3449

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 240,288

Greatest Common Factor of Numerators i.e. GCF of 240,288 is 48 .

LCM of Denominators means LCM of 49,3449 as per the given fractions.

LCM of 49,3449 is 169001 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,288

GCF of Fractions 240/49,288/3449 is 48/169001

2 240, 288
2 120, 144
2 60, 72
2 30, 36
3 15, 18
5, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 240,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,288 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 240,288 . The biggest common factor number is the GCF number.
So the greatest common factor 240,288 is 48.

Lets's calculate LCM of 49,3449

Given numbers has no common factors except 1. So, there LCM is their product i.e 169001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/169001

Therefore, the GCF of Fractions 240/49,288/3449 is 48/169001

Least Common Multiple of 49,3449 with GCF Formula

Least Common Multiple of 49,3449 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 49,3449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,3449) = 1

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

GCF(49,3449) x common factors =1 x 1 = 1

LCM(49,3449) = ( 49 × 3449 ) / 1

LCM(49,3449) = 169001 / 1

LCM(49,3449) = 169001


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 240/49, 288/3449

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 240/49, 288/3449?

Answer: GCF of Numerators as per given numbers 240/49, 288/3449 is

GCF of Numerators i.e. for 240,288 is 48

LCM of denominators i.e. for 49,3449 is 169001.

Thus, GCF of Fractions is 48/169001.Finally, GCF of Fractions for 240/49, 288/3449 is 48/169001.