Greatest Common Factor of 18/449, 448/317, 359/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/449, 448/317, 359/288

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 18/449,448/317,359/288

Given fractions are 18/449,448/317,359/288

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 18,448,359

Greatest Common Factor of Numerators i.e. GCF of 18,448,359 is 1 .

LCM of Denominators means LCM of 449,317,288 as per the given fractions.

LCM of 449,317,288 is 40991904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,448,359

GCF of Fractions 18/449,448/317,359/288 is 1/40991904

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 18,448,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,448,359 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 18,448,359 . The biggest common factor number is the GCF number.
So the greatest common factor 18,448,359 is 1.

Lets's calculate LCM of 449,317,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 40991904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40991904

Therefore, the GCF of Fractions 18/449,448/317,359/288 is 1/40991904

Least Common Multiple of 449,317,288 with GCF Formula

Least Common Multiple of 449,317,288 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 449,317,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,317,288) = 1

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

GCF(449,317,288) x common factors =1 x 1 = 1

LCM(449,317,288) = ( 449 × 317 × 288 ) / 1

LCM(449,317,288) = 40991904 / 1

LCM(449,317,288) = 40991904


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 18/449, 448/317, 359/288

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 18/449, 448/317, 359/288?

Answer: GCF of Numerators as per given numbers 18/449, 448/317, 359/288 is

GCF of Numerators i.e. for 18,448,359 is 1

LCM of denominators i.e. for 449,317,288 is 40991904.

Thus, GCF of Fractions is 1/40991904.Finally, GCF of Fractions for 18/449, 448/317, 359/288 is 1/40991904.