Use our free GCF of Fractions Calculator tool to compute the GCF of 6/335, 4/786 i.e 2/263310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/335, 4/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/335,4/786
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 6/335,4/786, numerators are 6,4
Denominators are 335,786
The GCF of 6,4 is 2 .
LCM of 335,786 is 263310.
The greatest common factor of 6/335,4/786 = [GCF of 6,4]/[LCM of 335,786]= 2/263310
Therefore, the GCF of 6/335,4/786 is 2/263310.
To find the highest common factor of 6,4, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 4 are 1, 2, 4
The HCF of 6,4 is 2.
Lets's calculate GCF of 6,4
2 | 6, 4 |
3, 2 |
∴ So the GCF of the given numbers is 2 = 2
Lets's calculate LCM of 335,786
Given numbers has no common factors except 1. So, there LCM is their product i.e 263310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263310
Therefore, the GCF of Fractions 6/335,4/786 is 2/263310
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 335,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,786) x common factors =1 x 1 = 1
LCM(335,786) = ( 335 × 786 ) / 1
LCM(335,786) = 263310 / 1
LCM(335,786) = 263310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6,4?
The HCF of 6,4 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 6/335, 4/786?
Answer: GCF of Numerators as per given numbers 6/335, 4/786 is
GCF of Numerators i.e. for 6,4 is 2
LCM of denominators i.e. for 335,786 is 263310.
Thus, GCF of Fractions is 2/263310.Finally, GCF of Fractions for 6/335, 4/786 is 2/263310.