Use our free GCF of Fractions Calculator tool to compute the GCF of 480/280, 845/309 i.e 5/86520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 480/280, 845/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 480/280,845/309
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 480/280,845/309, numerators are 480,845
Denominators are 280,309
The GCF of 480,845 is 5 .
LCM of 280,309 is 86520.
The greatest common factor of 480/280,845/309 = [GCF of 480,845]/[LCM of 280,309]= 5/86520
Therefore, the GCF of 480/280,845/309 is 5/86520.
To find the highest common factor of 480,845, we have to find the factors of both numbers and list the highest common factor.
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The factors of 845 are 1, 5, 13, 65, 169, 845
The HCF of 480,845 is 5.
Lets's calculate GCF of 480,845
5 | 480, 845 |
96, 169 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Now, list down the factors of 845
:1,5,13,65,169,845
Greatest Common Factor
We found the factors 480,845 . The biggest common factor number is the GCF number.
So the greatest common factor 480,845 is 5.
Lets's calculate LCM of 280,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 86520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/86520
Therefore, the GCF of Fractions 480/280,845/309 is 5/86520
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 280,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,309) x common factors =1 x 1 = 1
LCM(280,309) = ( 280 × 309 ) / 1
LCM(280,309) = 86520 / 1
LCM(280,309) = 86520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 480,845?
The HCF of 480,845 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 480/280, 845/309?
Answer: GCF of Numerators as per given numbers 480/280, 845/309 is
GCF of Numerators i.e. for 480,845 is 5
LCM of denominators i.e. for 280,309 is 86520.
Thus, GCF of Fractions is 5/86520.Finally, GCF of Fractions for 480/280, 845/309 is 5/86520.