Use our free GCF of Fractions Calculator tool to compute the GCF of 440/792, 338/852 i.e 2/56232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/792, 338/852.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/792,338/852
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 440/792,338/852, numerators are 440,338
Denominators are 792,852
The GCF of 440,338 is 2 .
LCM of 792,852 is 56232.
The greatest common factor of 440/792,338/852 = [GCF of 440,338]/[LCM of 792,852]= 2/56232
Therefore, the GCF of 440/792,338/852 is 2/56232.
To find the highest common factor of 440,338, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 440,338 is 2.
Lets's calculate GCF of 440,338
2 | 440, 338 |
220, 169 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 440,338 . The biggest common factor number is the GCF number.
So the greatest common factor 440,338 is 2.
Lets's calculate LCM of 792,852
2 | 792, 852 |
2 | 396, 426 |
3 | 198, 213 |
66, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 66 x 71 = 56232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56232
Therefore, the GCF of Fractions 440/792,338/852 is 2/56232
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 792,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,852) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(792,852) x common factors =12 x 1 = 12
LCM(792,852) = ( 792 × 852 ) / 12
LCM(792,852) = 674784 / 12
LCM(792,852) = 56232
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 440,338?
The HCF of 440,338 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 440/792, 338/852?
Answer: GCF of Numerators as per given numbers 440/792, 338/852 is
GCF of Numerators i.e. for 440,338 is 2
LCM of denominators i.e. for 792,852 is 56232.
Thus, GCF of Fractions is 2/56232.Finally, GCF of Fractions for 440/792, 338/852 is 2/56232.