Use our free GCF of Fractions Calculator tool to compute the GCF of 8704/472, 2664/9393 i.e 8/4433496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/472, 2664/9393.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8704/472,2664/9393
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 8704/472,2664/9393, numerators are 8704,2664
Denominators are 472,9393
The GCF of 8704,2664 is 8 .
LCM of 472,9393 is 4433496.
The greatest common factor of 8704/472,2664/9393 = [GCF of 8704,2664]/[LCM of 472,9393]= 8/4433496
Therefore, the GCF of 8704/472,2664/9393 is 8/4433496.
To find the highest common factor of 8704,2664, we have to find the factors of both numbers and list the highest common factor.
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The HCF of 8704,2664 is 8.
Lets's calculate GCF of 8704,2664
2 | 8704, 2664 |
2 | 4352, 1332 |
2 | 2176, 666 |
1088, 333 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Greatest Common Factor
We found the factors 8704,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,2664 is 8.
Lets's calculate LCM of 472,9393
Given numbers has no common factors except 1. So, there LCM is their product i.e 4433496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4433496
Therefore, the GCF of Fractions 8704/472,2664/9393 is 8/4433496
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 472,9393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,9393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,9393) x common factors =1 x 1 = 1
LCM(472,9393) = ( 472 × 9393 ) / 1
LCM(472,9393) = 4433496 / 1
LCM(472,9393) = 4433496
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8704,2664?
The HCF of 8704,2664 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 8704/472, 2664/9393?
Answer: GCF of Numerators as per given numbers 8704/472, 2664/9393 is
GCF of Numerators i.e. for 8704,2664 is 8
LCM of denominators i.e. for 472,9393 is 4433496.
Thus, GCF of Fractions is 8/4433496.Finally, GCF of Fractions for 8704/472, 2664/9393 is 8/4433496.