Use our free GCF of Fractions Calculator tool to compute the GCF of 902/858, 7464/8301 i.e 2/2374086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/858, 7464/8301.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/858,7464/8301
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 902/858,7464/8301, numerators are 902,7464
Denominators are 858,8301
The GCF of 902,7464 is 2 .
LCM of 858,8301 is 2374086.
The greatest common factor of 902/858,7464/8301 = [GCF of 902,7464]/[LCM of 858,8301]= 2/2374086
Therefore, the GCF of 902/858,7464/8301 is 2/2374086.
To find the highest common factor of 902,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 902,7464 is 2.
Lets's calculate GCF of 902,7464
2 | 902, 7464 |
451, 3732 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 902
:1,2,11,22,41,82,451,902
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 902,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 902,7464 is 2.
Lets's calculate LCM of 858,8301
3 | 858, 8301 |
286, 2767 |
∴ So the LCM of the given numbers is 3 x 286 x 2767 = 2374086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2374086
Therefore, the GCF of Fractions 902/858,7464/8301 is 2/2374086
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 858,8301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,8301) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(858,8301) x common factors =3 x 1 = 3
LCM(858,8301) = ( 858 × 8301 ) / 3
LCM(858,8301) = 7122258 / 3
LCM(858,8301) = 2374086
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 902,7464?
The HCF of 902,7464 is 2
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 902/858, 7464/8301?
Answer: GCF of Numerators as per given numbers 902/858, 7464/8301 is
GCF of Numerators i.e. for 902,7464 is 2
LCM of denominators i.e. for 858,8301 is 2374086.
Thus, GCF of Fractions is 2/2374086.Finally, GCF of Fractions for 902/858, 7464/8301 is 2/2374086.