Greatest Common Factor of 44/46, 45/32, 289/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/46, 45/32, 289/323

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 44/46,45/32,289/323

Given fractions are 44/46,45/32,289/323

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 44,45,289

Greatest Common Factor of Numerators i.e. GCF of 44,45,289 is 1 .

LCM of Denominators means LCM of 46,32,323 as per the given fractions.

LCM of 46,32,323 is 237728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,45,289

GCF of Fractions 44/46,45/32,289/323 is 1/237728

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

Greatest Common Factor of 44,45,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,45,289 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 45

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

1,3,5,9,15,45

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 44,45,289 . The biggest common factor number is the GCF number.
So the greatest common factor 44,45,289 is 1.

Lets's calculate LCM of 46,32,323

2 46, 32, 323
23, 16, 323

∴ So the LCM of the given numbers is 2 x 23 x 16 x 323 = 237728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237728

Therefore, the GCF of Fractions 44/46,45/32,289/323 is 1/237728

Least Common Multiple of 46,32,323 with GCF Formula

Least Common Multiple of 46,32,323 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 46,32,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,32,323) = 1

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

GCF(46,32,323) x common factors =1 x 2 = 2

LCM(46,32,323) = ( 46 × 32 × 323 ) / 2

LCM(46,32,323) = 475456 / 2

LCM(46,32,323) = 237728


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 44/46, 45/32, 289/323

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 44/46, 45/32, 289/323?

Answer: GCF of Numerators as per given numbers 44/46, 45/32, 289/323 is

GCF of Numerators i.e. for 44,45,289 is 1

LCM of denominators i.e. for 46,32,323 is 237728.

Thus, GCF of Fractions is 1/237728.Finally, GCF of Fractions for 44/46, 45/32, 289/323 is 1/237728.