Use our free GCF of Fractions Calculator tool to compute the GCF of 448/921, 664/675 i.e 8/207225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/921, 664/675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/921,664/675
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 448/921,664/675, numerators are 448,664
Denominators are 921,675
The GCF of 448,664 is 8 .
LCM of 921,675 is 207225.
The greatest common factor of 448/921,664/675 = [GCF of 448,664]/[LCM of 921,675]= 8/207225
Therefore, the GCF of 448/921,664/675 is 8/207225.
To find the highest common factor of 448,664, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The HCF of 448,664 is 8.
Lets's calculate GCF of 448,664
2 | 448, 664 |
2 | 224, 332 |
2 | 112, 166 |
56, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 448,664 . The biggest common factor number is the GCF number.
So the greatest common factor 448,664 is 8.
Lets's calculate LCM of 921,675
3 | 921, 675 |
307, 225 |
∴ So the LCM of the given numbers is 3 x 307 x 225 = 207225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/207225
Therefore, the GCF of Fractions 448/921,664/675 is 8/207225
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 921,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,675) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,675) x common factors =3 x 1 = 3
LCM(921,675) = ( 921 × 675 ) / 3
LCM(921,675) = 621675 / 3
LCM(921,675) = 207225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 448,664?
The HCF of 448,664 is 8
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 448/921, 664/675?
Answer: GCF of Numerators as per given numbers 448/921, 664/675 is
GCF of Numerators i.e. for 448,664 is 8
LCM of denominators i.e. for 921,675 is 207225.
Thus, GCF of Fractions is 8/207225.Finally, GCF of Fractions for 448/921, 664/675 is 8/207225.