Use our free GCF of Fractions Calculator tool to compute the GCF of 720/330, 154/712 i.e 2/117480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/330, 154/712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/330,154/712
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 720/330,154/712, numerators are 720,154
Denominators are 330,712
The GCF of 720,154 is 2 .
LCM of 330,712 is 117480.
The greatest common factor of 720/330,154/712 = [GCF of 720,154]/[LCM of 330,712]= 2/117480
Therefore, the GCF of 720/330,154/712 is 2/117480.
To find the highest common factor of 720,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 720,154 is 2.
Lets's calculate GCF of 720,154
2 | 720, 154 |
360, 77 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 720,154 . The biggest common factor number is the GCF number.
So the greatest common factor 720,154 is 2.
Lets's calculate LCM of 330,712
2 | 330, 712 |
165, 356 |
∴ So the LCM of the given numbers is 2 x 165 x 356 = 117480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/117480
Therefore, the GCF of Fractions 720/330,154/712 is 2/117480
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 330,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,712) x common factors =2 x 1 = 2
LCM(330,712) = ( 330 × 712 ) / 2
LCM(330,712) = 234960 / 2
LCM(330,712) = 117480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,154?
The HCF of 720,154 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 720/330, 154/712?
Answer: GCF of Numerators as per given numbers 720/330, 154/712 is
GCF of Numerators i.e. for 720,154 is 2
LCM of denominators i.e. for 330,712 is 117480.
Thus, GCF of Fractions is 2/117480.Finally, GCF of Fractions for 720/330, 154/712 is 2/117480.