GCF of 333/64, 296/27, 296/75
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 333/64, 296/27, 296/75 i.e 37/43200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/64, 296/27, 296/75.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 333/64,296/27,296/75?
Given fractions are 333/64,296/27,296/75
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 333/64,296/27,296/75, numerators are 333,296,296
Denominators are 64,27,75
The GCF of 333,296,296 is 37 .
LCM of 64,27,75 is 43200.
The greatest common factor of 333/64,296/27,296/75 = [GCF of 333,296,296]/[LCM of 64,27,75]= 37/43200
Therefore, the GCF of 333/64,296/27,296/75 is 37/43200.
To find the highest common factor of 333,296,296, 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 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 333,296,296 is 37.
Lets's calculate GCF of 333,296,296
| 37 | 333, 296, 296 |
| 9, 8, 8 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 333,296,296 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 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 333,296,296 . The biggest common factor number is the GCF number.
So the greatest common factor 333,296,296 is 37.
Lets's calculate LCM of 64,27,75
| 3 | 64, 27, 75 |
| 64, 9, 25 |
∴ So the LCM of the given numbers is 3 x 64 x 9 x 25 = 43200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/43200
Therefore, the GCF of Fractions 333/64,296/27,296/75 is 37/43200
Least Common Multiple of 64,27,75 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 64,27,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,27,75) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(64,27,75) x common factors =1 x 3 = 3
LCM(64,27,75) = ( 64 × 27 × 75 ) / 3
LCM(64,27,75) = 129600 / 3
LCM(64,27,75) = 43200
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FAQs on GCF of Fractions of 333/64, 296/27, 296/75
1. What is the HCF of 333,296,296?
The HCF of 333,296,296 is 37
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 333/64, 296/27, 296/75?
Answer: GCF of Numerators as per given numbers 333/64, 296/27, 296/75 is
GCF of Numerators i.e. for 333,296,296 is 37
LCM of denominators i.e. for 64,27,75 is 43200.
Thus, GCF of Fractions is 37/43200.Finally, GCF of Fractions for 333/64, 296/27, 296/75 is 37/43200.