Use our free GCF of Fractions Calculator tool to compute the GCF of 720/898, 395/467 i.e 5/419366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/898, 395/467.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/898,395/467
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 720/898,395/467, numerators are 720,395
Denominators are 898,467
The GCF of 720,395 is 5 .
LCM of 898,467 is 419366.
The greatest common factor of 720/898,395/467 = [GCF of 720,395]/[LCM of 898,467]= 5/419366
Therefore, the GCF of 720/898,395/467 is 5/419366.
To find the highest common factor of 720,395, 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 395 are 1, 5, 79, 395
The HCF of 720,395 is 5.
Lets's calculate GCF of 720,395
5 | 720, 395 |
144, 79 |
∴ So the GCF of the given numbers is 5 = 5
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 395
:1,5,79,395
Greatest Common Factor
We found the factors 720,395 . The biggest common factor number is the GCF number.
So the greatest common factor 720,395 is 5.
Lets's calculate LCM of 898,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 419366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/419366
Therefore, the GCF of Fractions 720/898,395/467 is 5/419366
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 898,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,467) x common factors =1 x 1 = 1
LCM(898,467) = ( 898 × 467 ) / 1
LCM(898,467) = 419366 / 1
LCM(898,467) = 419366
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,395?
The HCF of 720,395 is 5
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 720/898, 395/467?
Answer: GCF of Numerators as per given numbers 720/898, 395/467 is
GCF of Numerators i.e. for 720,395 is 5
LCM of denominators i.e. for 898,467 is 419366.
Thus, GCF of Fractions is 5/419366.Finally, GCF of Fractions for 720/898, 395/467 is 5/419366.