Use our free GCF of Fractions Calculator tool to compute the GCF of 9694/736, 8510/2968 i.e 74/273056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9694/736, 8510/2968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9694/736,8510/2968
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 9694/736,8510/2968, numerators are 9694,8510
Denominators are 736,2968
The GCF of 9694,8510 is 74 .
LCM of 736,2968 is 273056.
The greatest common factor of 9694/736,8510/2968 = [GCF of 9694,8510]/[LCM of 736,2968]= 74/273056
Therefore, the GCF of 9694/736,8510/2968 is 74/273056.
To find the highest common factor of 9694,8510, we have to find the factors of both numbers and list the highest common factor.
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The HCF of 9694,8510 is 74.
Lets's calculate GCF of 9694,8510
2 | 9694, 8510 |
37 | 4847, 4255 |
131, 115 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 9694,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 9694,8510 is 74.
Lets's calculate LCM of 736,2968
2 | 736, 2968 |
2 | 368, 1484 |
2 | 184, 742 |
92, 371 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 371 = 273056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/273056
Therefore, the GCF of Fractions 9694/736,8510/2968 is 74/273056
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 736,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,2968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(736,2968) x common factors =8 x 1 = 8
LCM(736,2968) = ( 736 × 2968 ) / 8
LCM(736,2968) = 2184448 / 8
LCM(736,2968) = 273056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9694,8510?
The HCF of 9694,8510 is 74
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 9694/736, 8510/2968?
Answer: GCF of Numerators as per given numbers 9694/736, 8510/2968 is
GCF of Numerators i.e. for 9694,8510 is 74
LCM of denominators i.e. for 736,2968 is 273056.
Thus, GCF of Fractions is 74/273056.Finally, GCF of Fractions for 9694/736, 8510/2968 is 74/273056.