Use our free GCF of Fractions Calculator tool to compute the GCF of 444/172, 288/248 i.e 12/10664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/172, 288/248.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/172,288/248
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 444/172,288/248, numerators are 444,288
Denominators are 172,248
The GCF of 444,288 is 12 .
LCM of 172,248 is 10664.
The greatest common factor of 444/172,288/248 = [GCF of 444,288]/[LCM of 172,248]= 12/10664
Therefore, the GCF of 444/172,288/248 is 12/10664.
To find the highest common factor of 444,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 444,288 is 12.
Lets's calculate GCF of 444,288
2 | 444, 288 |
2 | 222, 144 |
3 | 111, 72 |
37, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 444,288 . The biggest common factor number is the GCF number.
So the greatest common factor 444,288 is 12.
Lets's calculate LCM of 172,248
2 | 172, 248 |
2 | 86, 124 |
43, 62 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 62 = 10664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/10664
Therefore, the GCF of Fractions 444/172,288/248 is 12/10664
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 172,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,248) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,248) x common factors =4 x 1 = 4
LCM(172,248) = ( 172 × 248 ) / 4
LCM(172,248) = 42656 / 4
LCM(172,248) = 10664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 444,288?
The HCF of 444,288 is 12
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 444/172, 288/248?
Answer: GCF of Numerators as per given numbers 444/172, 288/248 is
GCF of Numerators i.e. for 444,288 is 12
LCM of denominators i.e. for 172,248 is 10664.
Thus, GCF of Fractions is 12/10664.Finally, GCF of Fractions for 444/172, 288/248 is 12/10664.