Use our free GCF of Fractions Calculator tool to compute the GCF of 248/256, 330/413 i.e 2/105728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/256, 330/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 248/256,330/413
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 248/256,330/413, numerators are 248,330
Denominators are 256,413
The GCF of 248,330 is 2 .
LCM of 256,413 is 105728.
The greatest common factor of 248/256,330/413 = [GCF of 248,330]/[LCM of 256,413]= 2/105728
Therefore, the GCF of 248/256,330/413 is 2/105728.
To find the highest common factor of 248,330, we have to find the factors of both numbers and list the highest common factor.
The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248
The factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
The HCF of 248,330 is 2.
Lets's calculate GCF of 248,330
2 | 248, 330 |
124, 165 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 248
:1,2,4,8,31,62,124,248
Now, list down the factors of 330
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 248,330 . The biggest common factor number is the GCF number.
So the greatest common factor 248,330 is 2.
Lets's calculate LCM of 256,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 105728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105728
Therefore, the GCF of Fractions 248/256,330/413 is 2/105728
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 256,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,413) x common factors =1 x 1 = 1
LCM(256,413) = ( 256 × 413 ) / 1
LCM(256,413) = 105728 / 1
LCM(256,413) = 105728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 248,330?
The HCF of 248,330 is 2
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 248/256, 330/413?
Answer: GCF of Numerators as per given numbers 248/256, 330/413 is
GCF of Numerators i.e. for 248,330 is 2
LCM of denominators i.e. for 256,413 is 105728.
Thus, GCF of Fractions is 2/105728.Finally, GCF of Fractions for 248/256, 330/413 is 2/105728.