Use our free GCF of Fractions Calculator tool to compute the GCF of 838/991, 303/755 i.e 1/748205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/991, 303/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/991,303/755
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 838/991,303/755, numerators are 838,303
Denominators are 991,755
The GCF of 838,303 is 1 .
LCM of 991,755 is 748205.
The greatest common factor of 838/991,303/755 = [GCF of 838,303]/[LCM of 991,755]= 1/748205
Therefore, the GCF of 838/991,303/755 is 1/748205.
To find the highest common factor of 838,303, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 303 are 1, 3, 101, 303
The HCF of 838,303 is 1.
Lets's calculate GCF of 838,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 303
:1,3,101,303
Greatest Common Factor
We found the factors 838,303 . The biggest common factor number is the GCF number.
So the greatest common factor 838,303 is 1.
Lets's calculate LCM of 991,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 748205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748205
Therefore, the GCF of Fractions 838/991,303/755 is 1/748205
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 991,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,755) x common factors =1 x 1 = 1
LCM(991,755) = ( 991 × 755 ) / 1
LCM(991,755) = 748205 / 1
LCM(991,755) = 748205
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,303?
The HCF of 838,303 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 838/991, 303/755?
Answer: GCF of Numerators as per given numbers 838/991, 303/755 is
GCF of Numerators i.e. for 838,303 is 1
LCM of denominators i.e. for 991,755 is 748205.
Thus, GCF of Fractions is 1/748205.Finally, GCF of Fractions for 838/991, 303/755 is 1/748205.