Greatest Common Factor of 14/53, 40/145, 352/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/53, 40/145, 352/288

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 14/53,40/145,352/288

Given fractions are 14/53,40/145,352/288

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 14,40,352

Greatest Common Factor of Numerators i.e. GCF of 14,40,352 is 2 .

LCM of Denominators means LCM of 53,145,288 as per the given fractions.

LCM of 53,145,288 is 2213280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,40,352

GCF of Fractions 14/53,40/145,352/288 is 2/2213280

2 14, 40, 352
7, 20, 176

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

Greatest Common Factor of 14,40,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,40,352 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 14,40,352 . The biggest common factor number is the GCF number.
So the greatest common factor 14,40,352 is 2.

Lets's calculate LCM of 53,145,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 2213280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2213280

Therefore, the GCF of Fractions 14/53,40/145,352/288 is 2/2213280

Least Common Multiple of 53,145,288 with GCF Formula

Least Common Multiple of 53,145,288 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 53,145,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,145,288) = 1

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

GCF(53,145,288) x common factors =1 x 1 = 1

LCM(53,145,288) = ( 53 × 145 × 288 ) / 1

LCM(53,145,288) = 2213280 / 1

LCM(53,145,288) = 2213280


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 14/53, 40/145, 352/288

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 14/53, 40/145, 352/288?

Answer: GCF of Numerators as per given numbers 14/53, 40/145, 352/288 is

GCF of Numerators i.e. for 14,40,352 is 2

LCM of denominators i.e. for 53,145,288 is 2213280.

Thus, GCF of Fractions is 2/2213280.Finally, GCF of Fractions for 14/53, 40/145, 352/288 is 2/2213280.