GCF of 335/12, 512/43, 296/52
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 335/12, 512/43, 296/52 i.e 1/6708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/12, 512/43, 296/52.
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 335/12,512/43,296/52?
Given fractions are 335/12,512/43,296/52
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 335/12,512/43,296/52, numerators are 335,512,296
Denominators are 12,43,52
The GCF of 335,512,296 is 1 .
LCM of 12,43,52 is 6708.
The greatest common factor of 335/12,512/43,296/52 = [GCF of 335,512,296]/[LCM of 12,43,52]= 1/6708
Therefore, the GCF of 335/12,512/43,296/52 is 1/6708.
To find the highest common factor of 335,512,296, we have to find the factors of both numbers and list the highest common factor.
The factors of 335 are 1, 5, 67, 335
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 335,512,296 is 1.
Lets's calculate GCF of 335,512,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 335,512,296 By Matching Biggest Common Factor Method
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 335,512,296 . The biggest common factor number is the GCF number.
So the greatest common factor 335,512,296 is 1.
Lets's calculate LCM of 12,43,52
| 2 | 12, 43, 52 |
| 2 | 6, 43, 26 |
| 3, 43, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 13 = 6708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6708
Therefore, the GCF of Fractions 335/12,512/43,296/52 is 1/6708
Least Common Multiple of 12,43,52 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 12,43,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,43,52) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(12,43,52) x common factors =1 x 4 = 4
LCM(12,43,52) = ( 12 × 43 × 52 ) / 4
LCM(12,43,52) = 26832 / 4
LCM(12,43,52) = 6708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 335/12, 512/43, 296/52
1. What is the HCF of 335,512,296?
The HCF of 335,512,296 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 335/12, 512/43, 296/52?
Answer: GCF of Numerators as per given numbers 335/12, 512/43, 296/52 is
GCF of Numerators i.e. for 335,512,296 is 1
LCM of denominators i.e. for 12,43,52 is 6708.
Thus, GCF of Fractions is 1/6708.Finally, GCF of Fractions for 335/12, 512/43, 296/52 is 1/6708.