Use our free GCF of Fractions Calculator tool to compute the GCF of 886/505, 720/865 i.e 2/87365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/505, 720/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/505,720/865
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 886/505,720/865, numerators are 886,720
Denominators are 505,865
The GCF of 886,720 is 2 .
LCM of 505,865 is 87365.
The greatest common factor of 886/505,720/865 = [GCF of 886,720]/[LCM of 505,865]= 2/87365
Therefore, the GCF of 886/505,720/865 is 2/87365.
To find the highest common factor of 886,720, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
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 HCF of 886,720 is 2.
Lets's calculate GCF of 886,720
2 | 886, 720 |
443, 360 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 886
:1,2,443,886
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
Greatest Common Factor
We found the factors 886,720 . The biggest common factor number is the GCF number.
So the greatest common factor 886,720 is 2.
Lets's calculate LCM of 505,865
5 | 505, 865 |
101, 173 |
∴ So the LCM of the given numbers is 5 x 101 x 173 = 87365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87365
Therefore, the GCF of Fractions 886/505,720/865 is 2/87365
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 505,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,865) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,865) x common factors =5 x 1 = 5
LCM(505,865) = ( 505 × 865 ) / 5
LCM(505,865) = 436825 / 5
LCM(505,865) = 87365
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,720?
The HCF of 886,720 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 886/505, 720/865?
Answer: GCF of Numerators as per given numbers 886/505, 720/865 is
GCF of Numerators i.e. for 886,720 is 2
LCM of denominators i.e. for 505,865 is 87365.
Thus, GCF of Fractions is 2/87365.Finally, GCF of Fractions for 886/505, 720/865 is 2/87365.