Use our free GCF of Fractions Calculator tool to compute the GCF of 5633/303, 3397/4754 i.e 43/1440462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5633/303, 3397/4754.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5633/303,3397/4754
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 5633/303,3397/4754, numerators are 5633,3397
Denominators are 303,4754
The GCF of 5633,3397 is 43 .
LCM of 303,4754 is 1440462.
The greatest common factor of 5633/303,3397/4754 = [GCF of 5633,3397]/[LCM of 303,4754]= 43/1440462
Therefore, the GCF of 5633/303,3397/4754 is 43/1440462.
To find the highest common factor of 5633,3397, we have to find the factors of both numbers and list the highest common factor.
The factors of 5633 are 1, 43, 131, 5633
The factors of 3397 are 1, 43, 79, 3397
The HCF of 5633,3397 is 43.
Lets's calculate GCF of 5633,3397
43 | 5633, 3397 |
131, 79 |
∴ So the GCF of the given numbers is 43 = 43
Now, list down the factors of 5633
:1,43,131,5633
Now, list down the factors of 3397
:1,43,79,3397
Greatest Common Factor
We found the factors 5633,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 5633,3397 is 43.
Lets's calculate LCM of 303,4754
Given numbers has no common factors except 1. So, there LCM is their product i.e 1440462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/1440462
Therefore, the GCF of Fractions 5633/303,3397/4754 is 43/1440462
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 303,4754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,4754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(303,4754) x common factors =1 x 1 = 1
LCM(303,4754) = ( 303 × 4754 ) / 1
LCM(303,4754) = 1440462 / 1
LCM(303,4754) = 1440462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5633,3397?
The HCF of 5633,3397 is 43
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 5633/303, 3397/4754?
Answer: GCF of Numerators as per given numbers 5633/303, 3397/4754 is
GCF of Numerators i.e. for 5633,3397 is 43
LCM of denominators i.e. for 303,4754 is 1440462.
Thus, GCF of Fractions is 43/1440462.Finally, GCF of Fractions for 5633/303, 3397/4754 is 43/1440462.