Use our free GCF of Fractions Calculator tool to compute the GCF of 720/293, 144/329 i.e 144/96397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/293, 144/329.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/293,144/329
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 720/293,144/329, numerators are 720,144
Denominators are 293,329
The GCF of 720,144 is 144 .
LCM of 293,329 is 96397.
The greatest common factor of 720/293,144/329 = [GCF of 720,144]/[LCM of 293,329]= 144/96397
Therefore, the GCF of 720/293,144/329 is 144/96397.
To find the highest common factor of 720,144, 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 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The HCF of 720,144 is 144.
Lets's calculate GCF of 720,144
2 | 720, 144 |
2 | 360, 72 |
2 | 180, 36 |
2 | 90, 18 |
3 | 45, 9 |
3 | 15, 3 |
5, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144
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 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 720,144 . The biggest common factor number is the GCF number.
So the greatest common factor 720,144 is 144.
Lets's calculate LCM of 293,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 96397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 144/96397
Therefore, the GCF of Fractions 720/293,144/329 is 144/96397
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 293,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,329) x common factors =1 x 1 = 1
LCM(293,329) = ( 293 × 329 ) / 1
LCM(293,329) = 96397 / 1
LCM(293,329) = 96397
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,144?
The HCF of 720,144 is 144
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 720/293, 144/329?
Answer: GCF of Numerators as per given numbers 720/293, 144/329 is
GCF of Numerators i.e. for 720,144 is 144
LCM of denominators i.e. for 293,329 is 96397.
Thus, GCF of Fractions is 144/96397.Finally, GCF of Fractions for 720/293, 144/329 is 144/96397.