Use our free GCF of Fractions Calculator tool to compute the GCF of 733/394, 424/871 i.e 1/343174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/394, 424/871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/394,424/871
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 733/394,424/871, numerators are 733,424
Denominators are 394,871
The GCF of 733,424 is 1 .
LCM of 394,871 is 343174.
The greatest common factor of 733/394,424/871 = [GCF of 733,424]/[LCM of 394,871]= 1/343174
Therefore, the GCF of 733/394,424/871 is 1/343174.
To find the highest common factor of 733,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 733 are 1, 733
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 733,424 is 1.
Lets's calculate GCF of 733,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 733
:1,733
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 733,424 . The biggest common factor number is the GCF number.
So the greatest common factor 733,424 is 1.
Lets's calculate LCM of 394,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 343174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343174
Therefore, the GCF of Fractions 733/394,424/871 is 1/343174
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 394,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,871) x common factors =1 x 1 = 1
LCM(394,871) = ( 394 × 871 ) / 1
LCM(394,871) = 343174 / 1
LCM(394,871) = 343174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 733,424?
The HCF of 733,424 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 733/394, 424/871?
Answer: GCF of Numerators as per given numbers 733/394, 424/871 is
GCF of Numerators i.e. for 733,424 is 1
LCM of denominators i.e. for 394,871 is 343174.
Thus, GCF of Fractions is 1/343174.Finally, GCF of Fractions for 733/394, 424/871 is 1/343174.