Use our free GCF of Fractions Calculator tool to compute the GCF of 4081/713, 3941/9449 i.e 7/6737137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4081/713, 3941/9449.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4081/713,3941/9449
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 4081/713,3941/9449, numerators are 4081,3941
Denominators are 713,9449
The GCF of 4081,3941 is 7 .
LCM of 713,9449 is 6737137.
The greatest common factor of 4081/713,3941/9449 = [GCF of 4081,3941]/[LCM of 713,9449]= 7/6737137
Therefore, the GCF of 4081/713,3941/9449 is 7/6737137.
To find the highest common factor of 4081,3941, we have to find the factors of both numbers and list the highest common factor.
The factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081
The factors of 3941 are 1, 7, 563, 3941
The HCF of 4081,3941 is 7.
Lets's calculate GCF of 4081,3941
7 | 4081, 3941 |
583, 563 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 4081
:1,7,11,53,77,371,583,4081
Now, list down the factors of 3941
:1,7,563,3941
Greatest Common Factor
We found the factors 4081,3941 . The biggest common factor number is the GCF number.
So the greatest common factor 4081,3941 is 7.
Lets's calculate LCM of 713,9449
Given numbers has no common factors except 1. So, there LCM is their product i.e 6737137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6737137
Therefore, the GCF of Fractions 4081/713,3941/9449 is 7/6737137
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 713,9449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,9449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,9449) x common factors =1 x 1 = 1
LCM(713,9449) = ( 713 × 9449 ) / 1
LCM(713,9449) = 6737137 / 1
LCM(713,9449) = 6737137
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4081,3941?
The HCF of 4081,3941 is 7
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 4081/713, 3941/9449?
Answer: GCF of Numerators as per given numbers 4081/713, 3941/9449 is
GCF of Numerators i.e. for 4081,3941 is 7
LCM of denominators i.e. for 713,9449 is 6737137.
Thus, GCF of Fractions is 7/6737137.Finally, GCF of Fractions for 4081/713, 3941/9449 is 7/6737137.