Greatest Common Factor of 44/160, 464/180, 498/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/160, 464/180, 498/115

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 44/160,464/180,498/115

Given fractions are 44/160,464/180,498/115

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 44,464,498

Greatest Common Factor of Numerators i.e. GCF of 44,464,498 is 2 .

LCM of Denominators means LCM of 160,180,115 as per the given fractions.

LCM of 160,180,115 is 33120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,464,498

GCF of Fractions 44/160,464/180,498/115 is 2/33120

2 44, 464, 498
22, 232, 249

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

Greatest Common Factor of 44,464,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,464,498 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 44,464,498 . The biggest common factor number is the GCF number.
So the greatest common factor 44,464,498 is 2.

Lets's calculate LCM of 160,180,115

2 160, 180, 115
2 80, 90, 115
5 40, 45, 115
8, 9, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 8 x 9 x 23 = 33120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33120

Therefore, the GCF of Fractions 44/160,464/180,498/115 is 2/33120

Least Common Multiple of 160,180,115 with GCF Formula

Least Common Multiple of 160,180,115 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 160,180,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,180,115) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(160,180,115) x common factors =5 x 20 = 100

LCM(160,180,115) = ( 160 × 180 × 115 ) / 100

LCM(160,180,115) = 3312000 / 100

LCM(160,180,115) = 33120


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 44/160, 464/180, 498/115

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 44/160, 464/180, 498/115?

Answer: GCF of Numerators as per given numbers 44/160, 464/180, 498/115 is

GCF of Numerators i.e. for 44,464,498 is 2

LCM of denominators i.e. for 160,180,115 is 33120.

Thus, GCF of Fractions is 2/33120.Finally, GCF of Fractions for 44/160, 464/180, 498/115 is 2/33120.