Use our free GCF of Fractions Calculator tool to compute the GCF of 944/487, 514/180 i.e 2/87660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 944/487, 514/180.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/487,514/180
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 944/487,514/180, numerators are 944,514
Denominators are 487,180
The GCF of 944,514 is 2 .
LCM of 487,180 is 87660.
The greatest common factor of 944/487,514/180 = [GCF of 944,514]/[LCM of 487,180]= 2/87660
Therefore, the GCF of 944/487,514/180 is 2/87660.
To find the highest common factor of 944,514, we have to find the factors of both numbers and list the highest common factor.
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
The factors of 514 are 1, 2, 257, 514
The HCF of 944,514 is 2.
Lets's calculate GCF of 944,514
2 | 944, 514 |
472, 257 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 944
:1,2,4,8,16,59,118,236,472,944
Now, list down the factors of 514
:1,2,257,514
Greatest Common Factor
We found the factors 944,514 . The biggest common factor number is the GCF number.
So the greatest common factor 944,514 is 2.
Lets's calculate LCM of 487,180
Given numbers has no common factors except 1. So, there LCM is their product i.e 87660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87660
Therefore, the GCF of Fractions 944/487,514/180 is 2/87660
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 487,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,180) x common factors =1 x 1 = 1
LCM(487,180) = ( 487 × 180 ) / 1
LCM(487,180) = 87660 / 1
LCM(487,180) = 87660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 944,514?
The HCF of 944,514 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 944/487, 514/180?
Answer: GCF of Numerators as per given numbers 944/487, 514/180 is
GCF of Numerators i.e. for 944,514 is 2
LCM of denominators i.e. for 487,180 is 87660.
Thus, GCF of Fractions is 2/87660.Finally, GCF of Fractions for 944/487, 514/180 is 2/87660.