GCF of 333/284, 466/196, 584/313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 333/284, 466/196, 584/313 i.e 1/4355708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/284, 466/196, 584/313.
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 333/284,466/196,584/313?
Given fractions are 333/284,466/196,584/313
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 333/284,466/196,584/313, numerators are 333,466,584
Denominators are 284,196,313
The GCF of 333,466,584 is 1 .
LCM of 284,196,313 is 4355708.
The greatest common factor of 333/284,466/196,584/313 = [GCF of 333,466,584]/[LCM of 284,196,313]= 1/4355708
Therefore, the GCF of 333/284,466/196,584/313 is 1/4355708.
To find the highest common factor of 333,466,584, 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 466 are 1, 2, 233, 466
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 333,466,584 is 1.
Lets's calculate GCF of 333,466,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 333,466,584 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 466
:1,2,233,466
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 333,466,584 . The biggest common factor number is the GCF number.
So the greatest common factor 333,466,584 is 1.
Lets's calculate LCM of 284,196,313
| 2 | 284, 196, 313 |
| 2 | 142, 98, 313 |
| 71, 49, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 49 x 313 = 4355708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4355708
Therefore, the GCF of Fractions 333/284,466/196,584/313 is 1/4355708
Least Common Multiple of 284,196,313 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 284,196,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,196,313) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(284,196,313) x common factors =1 x 4 = 4
LCM(284,196,313) = ( 284 × 196 × 313 ) / 4
LCM(284,196,313) = 17422832 / 4
LCM(284,196,313) = 4355708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 333/284, 466/196, 584/313
1. What is the HCF of 333,466,584?
The HCF of 333,466,584 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 333/284, 466/196, 584/313?
Answer: GCF of Numerators as per given numbers 333/284, 466/196, 584/313 is
GCF of Numerators i.e. for 333,466,584 is 1
LCM of denominators i.e. for 284,196,313 is 4355708.
Thus, GCF of Fractions is 1/4355708.Finally, GCF of Fractions for 333/284, 466/196, 584/313 is 1/4355708.