Use our free GCF of Fractions Calculator tool to compute the GCF of 7872/880, 9196/3032 i.e 4/333520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7872/880, 9196/3032.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7872/880,9196/3032
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 7872/880,9196/3032, numerators are 7872,9196
Denominators are 880,3032
The GCF of 7872,9196 is 4 .
LCM of 880,3032 is 333520.
The greatest common factor of 7872/880,9196/3032 = [GCF of 7872,9196]/[LCM of 880,3032]= 4/333520
Therefore, the GCF of 7872/880,9196/3032 is 4/333520.
To find the highest common factor of 7872,9196, we have to find the factors of both numbers and list the highest common factor.
The factors of 7872 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936, 7872
The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196
The HCF of 7872,9196 is 4.
Lets's calculate GCF of 7872,9196
2 | 7872, 9196 |
2 | 3936, 4598 |
1968, 2299 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 7872
:1,2,3,4,6,8,12,16,24,32,41,48,64,82,96,123,164,192,246,328,492,656,984,1312,1968,2624,3936,7872
Now, list down the factors of 9196
:1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196
Greatest Common Factor
We found the factors 7872,9196 . The biggest common factor number is the GCF number.
So the greatest common factor 7872,9196 is 4.
Lets's calculate LCM of 880,3032
2 | 880, 3032 |
2 | 440, 1516 |
2 | 220, 758 |
110, 379 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 110 x 379 = 333520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/333520
Therefore, the GCF of Fractions 7872/880,9196/3032 is 4/333520
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 880,3032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,3032) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(880,3032) x common factors =8 x 1 = 8
LCM(880,3032) = ( 880 × 3032 ) / 8
LCM(880,3032) = 2668160 / 8
LCM(880,3032) = 333520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7872,9196?
The HCF of 7872,9196 is 4
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 7872/880, 9196/3032?
Answer: GCF of Numerators as per given numbers 7872/880, 9196/3032 is
GCF of Numerators i.e. for 7872,9196 is 4
LCM of denominators i.e. for 880,3032 is 333520.
Thus, GCF of Fractions is 4/333520.Finally, GCF of Fractions for 7872/880, 9196/3032 is 4/333520.