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GCF of 333/46, 287/9408

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 333/46, 287/9408 i.e 1/216384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/46, 287/9408.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 333/46,287/9408?

Given fractions are 333/46,287/9408

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 333/46,287/9408, numerators are 333,287

Denominators are 46,9408

The GCF of 333,287 is 1 .

LCM of 46,9408 is 216384.

The greatest common factor of 333/46,287/9408 = [GCF of 333,287]/[LCM of 46,9408]= 1/216384

Therefore, the GCF of 333/46,287/9408 is 1/216384.

Greatest Common Factor of 333,287

To find the highest common factor of 333,287, we have to find the factors of both numbers and list the highest common factor.

The factors of 333 are 1, 3, 9, 37, 111, 333

The factors of 287 are 1, 7, 41, 287

The HCF of 333,287 is 1.

Lets's calculate GCF of 333,287

Greatest Common Factor (GCF) of 333,287 By Common Division

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

Greatest Common Factor of 333,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,287 By Matching Biggest Common Factor Method

Now, list down the factors of 333

:

1,3,9,37,111,333

Now, list down the factors of 287

:

1,7,41,287

Greatest Common Factor

We found the factors 333,287 . The biggest common factor number is the GCF number.
So the greatest common factor 333,287 is 1.

Lets's calculate LCM of 46,9408

Lowest Common Multiple of 46,9408 using Common Division

2 46, 9408
23, 4704

∴ So the LCM of the given numbers is 2 x 23 x 4704 = 216384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216384

Therefore, the GCF of Fractions 333/46,287/9408 is 1/216384

Least Common Multiple of 46,9408 with GCF Formula

Least Common Multiple of 46,9408 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 46,9408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,9408) = 2

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

GCF(46,9408) x common factors =2 x 1 = 2

LCM(46,9408) = ( 46 × 9408 ) / 2

LCM(46,9408) = 432768 / 2

LCM(46,9408) = 216384


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FAQs on GCF of Fractions of 333/46, 287/9408

1. What is the HCF of 333,287?

The HCF of 333,287 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 333/46, 287/9408?

Answer: GCF of Numerators as per given numbers 333/46, 287/9408 is

GCF of Numerators i.e. for 333,287 is 1

LCM of denominators i.e. for 46,9408 is 216384.

Thus, GCF of Fractions is 1/216384.Finally, GCF of Fractions for 333/46, 287/9408 is 1/216384.