Use our free GCF of Fractions Calculator tool to compute the GCF of 9711/867, 8259/9237 i.e 3/2669493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9711/867, 8259/9237.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9711/867,8259/9237
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 9711/867,8259/9237, numerators are 9711,8259
Denominators are 867,9237
The GCF of 9711,8259 is 3 .
LCM of 867,9237 is 2669493.
The greatest common factor of 9711/867,8259/9237 = [GCF of 9711,8259]/[LCM of 867,9237]= 3/2669493
Therefore, the GCF of 9711/867,8259/9237 is 3/2669493.
To find the highest common factor of 9711,8259, we have to find the factors of both numbers and list the highest common factor.
The factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711
The factors of 8259 are 1, 3, 2753, 8259
The HCF of 9711,8259 is 3.
Lets's calculate GCF of 9711,8259
3 | 9711, 8259 |
3237, 2753 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 9711
:1,3,9,13,39,83,117,249,747,1079,3237,9711
Now, list down the factors of 8259
:1,3,2753,8259
Greatest Common Factor
We found the factors 9711,8259 . The biggest common factor number is the GCF number.
So the greatest common factor 9711,8259 is 3.
Lets's calculate LCM of 867,9237
3 | 867, 9237 |
289, 3079 |
∴ So the LCM of the given numbers is 3 x 289 x 3079 = 2669493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2669493
Therefore, the GCF of Fractions 9711/867,8259/9237 is 3/2669493
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 867,9237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,9237) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,9237) x common factors =3 x 1 = 3
LCM(867,9237) = ( 867 × 9237 ) / 3
LCM(867,9237) = 8008479 / 3
LCM(867,9237) = 2669493
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9711,8259?
The HCF of 9711,8259 is 3
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 9711/867, 8259/9237?
Answer: GCF of Numerators as per given numbers 9711/867, 8259/9237 is
GCF of Numerators i.e. for 9711,8259 is 3
LCM of denominators i.e. for 867,9237 is 2669493.
Thus, GCF of Fractions is 3/2669493.Finally, GCF of Fractions for 9711/867, 8259/9237 is 3/2669493.