Greatest Common Factor of 45/14, 66/80, 366/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/14, 66/80, 366/179

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 45/14,66/80,366/179

Given fractions are 45/14,66/80,366/179

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 45,66,366

Greatest Common Factor of Numerators i.e. GCF of 45,66,366 is 3 .

LCM of Denominators means LCM of 14,80,179 as per the given fractions.

LCM of 14,80,179 is 100240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,66,366

GCF of Fractions 45/14,66/80,366/179 is 3/100240

3 45, 66, 366
15, 22, 122

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 45,66,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,66,366 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 45,66,366 . The biggest common factor number is the GCF number.
So the greatest common factor 45,66,366 is 3.

Lets's calculate LCM of 14,80,179

2 14, 80, 179
7, 40, 179

∴ So the LCM of the given numbers is 2 x 7 x 40 x 179 = 100240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/100240

Therefore, the GCF of Fractions 45/14,66/80,366/179 is 3/100240

Least Common Multiple of 14,80,179 with GCF Formula

Least Common Multiple of 14,80,179 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 14,80,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,80,179) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,80,179) x common factors =1 x 2 = 2

LCM(14,80,179) = ( 14 × 80 × 179 ) / 2

LCM(14,80,179) = 200480 / 2

LCM(14,80,179) = 100240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 45/14, 66/80, 366/179

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 45/14, 66/80, 366/179?

Answer: GCF of Numerators as per given numbers 45/14, 66/80, 366/179 is

GCF of Numerators i.e. for 45,66,366 is 3

LCM of denominators i.e. for 14,80,179 is 100240.

Thus, GCF of Fractions is 3/100240.Finally, GCF of Fractions for 45/14, 66/80, 366/179 is 3/100240.