Use our free GCF of Fractions Calculator tool to compute the GCF of 25/888, 15/8832 i.e 5/326784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/888, 15/8832.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/888,15/8832
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 25/888,15/8832, numerators are 25,15
Denominators are 888,8832
The GCF of 25,15 is 5 .
LCM of 888,8832 is 326784.
The greatest common factor of 25/888,15/8832 = [GCF of 25,15]/[LCM of 888,8832]= 5/326784
Therefore, the GCF of 25/888,15/8832 is 5/326784.
To find the highest common factor of 25,15, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 15 are 1, 3, 5, 15
The HCF of 25,15 is 5.
Lets's calculate GCF of 25,15
5 | 25, 15 |
5, 3 |
∴ So the GCF of the given numbers is 5 = 5
Lets's calculate LCM of 888,8832
2 | 888, 8832 |
2 | 444, 4416 |
2 | 222, 2208 |
3 | 111, 1104 |
37, 368 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 368 = 326784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/326784
Therefore, the GCF of Fractions 25/888,15/8832 is 5/326784
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 888,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,8832) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(888,8832) x common factors =24 x 1 = 24
LCM(888,8832) = ( 888 × 8832 ) / 24
LCM(888,8832) = 7842816 / 24
LCM(888,8832) = 326784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,15?
The HCF of 25,15 is 5
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 25/888, 15/8832?
Answer: GCF of Numerators as per given numbers 25/888, 15/8832 is
GCF of Numerators i.e. for 25,15 is 5
LCM of denominators i.e. for 888,8832 is 326784.
Thus, GCF of Fractions is 5/326784.Finally, GCF of Fractions for 25/888, 15/8832 is 5/326784.