Use our free GCF of Fractions Calculator tool to compute the GCF of 433/40, 933/4839 i.e 1/193560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/40, 933/4839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/40,933/4839
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 433/40,933/4839, numerators are 433,933
Denominators are 40,4839
The GCF of 433,933 is 1 .
LCM of 40,4839 is 193560.
The greatest common factor of 433/40,933/4839 = [GCF of 433,933]/[LCM of 40,4839]= 1/193560
Therefore, the GCF of 433/40,933/4839 is 1/193560.
To find the highest common factor of 433,933, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 933 are 1, 3, 311, 933
The HCF of 433,933 is 1.
Lets's calculate GCF of 433,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 433
:1,433
Now, list down the factors of 933
:1,3,311,933
Greatest Common Factor
We found the factors 433,933 . The biggest common factor number is the GCF number.
So the greatest common factor 433,933 is 1.
Lets's calculate LCM of 40,4839
Given numbers has no common factors except 1. So, there LCM is their product i.e 193560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193560
Therefore, the GCF of Fractions 433/40,933/4839 is 1/193560
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 40,4839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,4839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,4839) x common factors =1 x 1 = 1
LCM(40,4839) = ( 40 × 4839 ) / 1
LCM(40,4839) = 193560 / 1
LCM(40,4839) = 193560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 433,933?
The HCF of 433,933 is 1
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 433/40, 933/4839?
Answer: GCF of Numerators as per given numbers 433/40, 933/4839 is
GCF of Numerators i.e. for 433,933 is 1
LCM of denominators i.e. for 40,4839 is 193560.
Thus, GCF of Fractions is 1/193560.Finally, GCF of Fractions for 433/40, 933/4839 is 1/193560.