Use our free GCF of Fractions Calculator tool to compute the GCF of 810/354, 665/990 i.e 5/58410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/354, 665/990.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/354,665/990
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 810/354,665/990, numerators are 810,665
Denominators are 354,990
The GCF of 810,665 is 5 .
LCM of 354,990 is 58410.
The greatest common factor of 810/354,665/990 = [GCF of 810,665]/[LCM of 354,990]= 5/58410
Therefore, the GCF of 810/354,665/990 is 5/58410.
To find the highest common factor of 810,665, we have to find the factors of both numbers and list the highest common factor.
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The HCF of 810,665 is 5.
Lets's calculate GCF of 810,665
5 | 810, 665 |
162, 133 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 810,665 . The biggest common factor number is the GCF number.
So the greatest common factor 810,665 is 5.
Lets's calculate LCM of 354,990
2 | 354, 990 |
3 | 177, 495 |
59, 165 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 165 = 58410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/58410
Therefore, the GCF of Fractions 810/354,665/990 is 5/58410
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 354,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,990) x common factors =6 x 1 = 6
LCM(354,990) = ( 354 × 990 ) / 6
LCM(354,990) = 350460 / 6
LCM(354,990) = 58410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 810,665?
The HCF of 810,665 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 810/354, 665/990?
Answer: GCF of Numerators as per given numbers 810/354, 665/990 is
GCF of Numerators i.e. for 810,665 is 5
LCM of denominators i.e. for 354,990 is 58410.
Thus, GCF of Fractions is 5/58410.Finally, GCF of Fractions for 810/354, 665/990 is 5/58410.