Use our free GCF of Fractions Calculator tool to compute the GCF of 720/886, 555/485 i.e 15/429710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/886, 555/485.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/886,555/485
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 720/886,555/485, numerators are 720,555
Denominators are 886,485
The GCF of 720,555 is 15 .
LCM of 886,485 is 429710.
The greatest common factor of 720/886,555/485 = [GCF of 720,555]/[LCM of 886,485]= 15/429710
Therefore, the GCF of 720/886,555/485 is 15/429710.
To find the highest common factor of 720,555, 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 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 720,555 is 15.
Lets's calculate GCF of 720,555
3 | 720, 555 |
5 | 240, 185 |
48, 37 |
∴ So the GCF of the given numbers is 3 x 5 = 15
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 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 720,555 . The biggest common factor number is the GCF number.
So the greatest common factor 720,555 is 15.
Lets's calculate LCM of 886,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 429710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/429710
Therefore, the GCF of Fractions 720/886,555/485 is 15/429710
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 886,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(886,485) x common factors =1 x 1 = 1
LCM(886,485) = ( 886 × 485 ) / 1
LCM(886,485) = 429710 / 1
LCM(886,485) = 429710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,555?
The HCF of 720,555 is 15
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 720/886, 555/485?
Answer: GCF of Numerators as per given numbers 720/886, 555/485 is
GCF of Numerators i.e. for 720,555 is 15
LCM of denominators i.e. for 886,485 is 429710.
Thus, GCF of Fractions is 15/429710.Finally, GCF of Fractions for 720/886, 555/485 is 15/429710.