Use our free GCF of Fractions Calculator tool to compute the GCF of 985/256, 285/723 i.e 5/185088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/256, 285/723.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/256,285/723
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 985/256,285/723, numerators are 985,285
Denominators are 256,723
The GCF of 985,285 is 5 .
LCM of 256,723 is 185088.
The greatest common factor of 985/256,285/723 = [GCF of 985,285]/[LCM of 256,723]= 5/185088
Therefore, the GCF of 985/256,285/723 is 5/185088.
To find the highest common factor of 985,285, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The HCF of 985,285 is 5.
Lets's calculate GCF of 985,285
5 | 985, 285 |
197, 57 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 985,285 . The biggest common factor number is the GCF number.
So the greatest common factor 985,285 is 5.
Lets's calculate LCM of 256,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 185088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/185088
Therefore, the GCF of Fractions 985/256,285/723 is 5/185088
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 256,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,723) x common factors =1 x 1 = 1
LCM(256,723) = ( 256 × 723 ) / 1
LCM(256,723) = 185088 / 1
LCM(256,723) = 185088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 985,285?
The HCF of 985,285 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 985/256, 285/723?
Answer: GCF of Numerators as per given numbers 985/256, 285/723 is
GCF of Numerators i.e. for 985,285 is 5
LCM of denominators i.e. for 256,723 is 185088.
Thus, GCF of Fractions is 5/185088.Finally, GCF of Fractions for 985/256, 285/723 is 5/185088.