Greatest Common Factor of 240/114, 345/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/114, 345/484

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 240/114,345/484

Given fractions are 240/114,345/484

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 240,345

Greatest Common Factor of Numerators i.e. GCF of 240,345 is 15 .

LCM of Denominators means LCM of 114,484 as per the given fractions.

LCM of 114,484 is 27588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,345

GCF of Fractions 240/114,345/484 is 15/27588

3 240, 345
5 80, 115
16, 23

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 240,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,345 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 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 240,345 . The biggest common factor number is the GCF number.
So the greatest common factor 240,345 is 15.

Lets's calculate LCM of 114,484

2 114, 484
57, 242

∴ So the LCM of the given numbers is 2 x 57 x 242 = 27588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/27588

Therefore, the GCF of Fractions 240/114,345/484 is 15/27588

Least Common Multiple of 114,484 with GCF Formula

Least Common Multiple of 114,484 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 114,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,484) = 2

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

GCF(114,484) x common factors =2 x 1 = 2

LCM(114,484) = ( 114 × 484 ) / 2

LCM(114,484) = 55176 / 2

LCM(114,484) = 27588


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 240/114, 345/484

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 240/114, 345/484?

Answer: GCF of Numerators as per given numbers 240/114, 345/484 is

GCF of Numerators i.e. for 240,345 is 15

LCM of denominators i.e. for 114,484 is 27588.

Thus, GCF of Fractions is 15/27588.Finally, GCF of Fractions for 240/114, 345/484 is 15/27588.