Use our free GCF of Fractions Calculator tool to compute the GCF of 93/272, 845/120, 847/478 i.e 1/975120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/272, 845/120, 847/478.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/272,845/120,847/478
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 93/272,845/120,847/478, numerators are 93,845,847
Denominators are 272,120,478
The GCF of 93,845,847 is 1 .
LCM of 272,120,478 is 975120.
The greatest common factor of 93/272,845/120,847/478 = [GCF of 93,845,847]/[LCM of 272,120,478]= 1/975120
Therefore, the GCF of 93/272,845/120,847/478 is 1/975120.
To find the highest common factor of 93,845,847, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 847 are 1, 7, 11, 77, 121, 847
The HCF of 93,845,847 is 1.
Lets's calculate GCF of 93,845,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 93,845,847 . The biggest common factor number is the GCF number.
So the greatest common factor 93,845,847 is 1.
Lets's calculate LCM of 272,120,478
2 | 272, 120, 478 |
2 | 136, 60, 239 |
2 | 68, 30, 239 |
34, 15, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 15 x 239 = 975120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975120
Therefore, the GCF of Fractions 93/272,845/120,847/478 is 1/975120
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 272,120,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,120,478) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(272,120,478) x common factors =2 x 8 = 16
LCM(272,120,478) = ( 272 × 120 × 478 ) / 16
LCM(272,120,478) = 15601920 / 16
LCM(272,120,478) = 975120
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,845,847?
The HCF of 93,845,847 is 1
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 93/272, 845/120, 847/478?
Answer: GCF of Numerators as per given numbers 93/272, 845/120, 847/478 is
GCF of Numerators i.e. for 93,845,847 is 1
LCM of denominators i.e. for 272,120,478 is 975120.
Thus, GCF of Fractions is 1/975120.Finally, GCF of Fractions for 93/272, 845/120, 847/478 is 1/975120.