Use our free GCF of Fractions Calculator tool to compute the GCF of 1494/652, 9732/3705 i.e 6/2415660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1494/652, 9732/3705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1494/652,9732/3705
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 1494/652,9732/3705, numerators are 1494,9732
Denominators are 652,3705
The GCF of 1494,9732 is 6 .
LCM of 652,3705 is 2415660.
The greatest common factor of 1494/652,9732/3705 = [GCF of 1494,9732]/[LCM of 652,3705]= 6/2415660
Therefore, the GCF of 1494/652,9732/3705 is 6/2415660.
To find the highest common factor of 1494,9732, we have to find the factors of both numbers and list the highest common factor.
The factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494
The factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732
The HCF of 1494,9732 is 6.
Lets's calculate GCF of 1494,9732
2 | 1494, 9732 |
3 | 747, 4866 |
249, 1622 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 1494
:1,2,3,6,9,18,83,166,249,498,747,1494
Now, list down the factors of 9732
:1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Greatest Common Factor
We found the factors 1494,9732 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,9732 is 6.
Lets's calculate LCM of 652,3705
Given numbers has no common factors except 1. So, there LCM is their product i.e 2415660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2415660
Therefore, the GCF of Fractions 1494/652,9732/3705 is 6/2415660
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 652,3705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,3705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,3705) x common factors =1 x 1 = 1
LCM(652,3705) = ( 652 × 3705 ) / 1
LCM(652,3705) = 2415660 / 1
LCM(652,3705) = 2415660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1494,9732?
The HCF of 1494,9732 is 6
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 1494/652, 9732/3705?
Answer: GCF of Numerators as per given numbers 1494/652, 9732/3705 is
GCF of Numerators i.e. for 1494,9732 is 6
LCM of denominators i.e. for 652,3705 is 2415660.
Thus, GCF of Fractions is 6/2415660.Finally, GCF of Fractions for 1494/652, 9732/3705 is 6/2415660.