Use our free GCF of Fractions Calculator tool to compute the GCF of 7693/597, 6966/8310 i.e 1/1653690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7693/597, 6966/8310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7693/597,6966/8310
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 7693/597,6966/8310, numerators are 7693,6966
Denominators are 597,8310
The GCF of 7693,6966 is 1 .
LCM of 597,8310 is 1653690.
The greatest common factor of 7693/597,6966/8310 = [GCF of 7693,6966]/[LCM of 597,8310]= 1/1653690
Therefore, the GCF of 7693/597,6966/8310 is 1/1653690.
To find the highest common factor of 7693,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 7693 are 1, 7, 49, 157, 1099, 7693
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 7693,6966 is 1.
Lets's calculate GCF of 7693,6966
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7693
:1,7,49,157,1099,7693
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 7693,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 7693,6966 is 1.
Lets's calculate LCM of 597,8310
3 | 597, 8310 |
199, 2770 |
∴ So the LCM of the given numbers is 3 x 199 x 2770 = 1653690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1653690
Therefore, the GCF of Fractions 7693/597,6966/8310 is 1/1653690
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 597,8310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,8310) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,8310) x common factors =3 x 1 = 3
LCM(597,8310) = ( 597 × 8310 ) / 3
LCM(597,8310) = 4961070 / 3
LCM(597,8310) = 1653690
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7693,6966?
The HCF of 7693,6966 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 7693/597, 6966/8310?
Answer: GCF of Numerators as per given numbers 7693/597, 6966/8310 is
GCF of Numerators i.e. for 7693,6966 is 1
LCM of denominators i.e. for 597,8310 is 1653690.
Thus, GCF of Fractions is 1/1653690.Finally, GCF of Fractions for 7693/597, 6966/8310 is 1/1653690.