Use our free GCF of Fractions Calculator tool to compute the GCF of 335/593, 470/753 i.e 5/446529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/593, 470/753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/593,470/753
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 335/593,470/753, numerators are 335,470
Denominators are 593,753
The GCF of 335,470 is 5 .
LCM of 593,753 is 446529.
The greatest common factor of 335/593,470/753 = [GCF of 335,470]/[LCM of 593,753]= 5/446529
Therefore, the GCF of 335/593,470/753 is 5/446529.
To find the highest common factor of 335,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 335 are 1, 5, 67, 335
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 335,470 is 5.
Lets's calculate GCF of 335,470
5 | 335, 470 |
67, 94 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 335,470 . The biggest common factor number is the GCF number.
So the greatest common factor 335,470 is 5.
Lets's calculate LCM of 593,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 446529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/446529
Therefore, the GCF of Fractions 335/593,470/753 is 5/446529
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 593,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,753) x common factors =1 x 1 = 1
LCM(593,753) = ( 593 × 753 ) / 1
LCM(593,753) = 446529 / 1
LCM(593,753) = 446529
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 335,470?
The HCF of 335,470 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 335/593, 470/753?
Answer: GCF of Numerators as per given numbers 335/593, 470/753 is
GCF of Numerators i.e. for 335,470 is 5
LCM of denominators i.e. for 593,753 is 446529.
Thus, GCF of Fractions is 5/446529.Finally, GCF of Fractions for 335/593, 470/753 is 5/446529.