Use our free GCF of Fractions Calculator tool to compute the GCF of 6341/548, 9061/6871 i.e 17/3765308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6341/548, 9061/6871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6341/548,9061/6871
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 6341/548,9061/6871, numerators are 6341,9061
Denominators are 548,6871
The GCF of 6341,9061 is 17 .
LCM of 548,6871 is 3765308.
The greatest common factor of 6341/548,9061/6871 = [GCF of 6341,9061]/[LCM of 548,6871]= 17/3765308
Therefore, the GCF of 6341/548,9061/6871 is 17/3765308.
To find the highest common factor of 6341,9061, we have to find the factors of both numbers and list the highest common factor.
The factors of 6341 are 1, 17, 373, 6341
The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061
The HCF of 6341,9061 is 17.
Lets's calculate GCF of 6341,9061
17 | 6341, 9061 |
373, 533 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 6341
:1,17,373,6341
Now, list down the factors of 9061
:1,13,17,41,221,533,697,9061
Greatest Common Factor
We found the factors 6341,9061 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,9061 is 17.
Lets's calculate LCM of 548,6871
Given numbers has no common factors except 1. So, there LCM is their product i.e 3765308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3765308
Therefore, the GCF of Fractions 6341/548,9061/6871 is 17/3765308
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 548,6871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,6871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,6871) x common factors =1 x 1 = 1
LCM(548,6871) = ( 548 × 6871 ) / 1
LCM(548,6871) = 3765308 / 1
LCM(548,6871) = 3765308
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6341,9061?
The HCF of 6341,9061 is 17
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 6341/548, 9061/6871?
Answer: GCF of Numerators as per given numbers 6341/548, 9061/6871 is
GCF of Numerators i.e. for 6341,9061 is 17
LCM of denominators i.e. for 548,6871 is 3765308.
Thus, GCF of Fractions is 17/3765308.Finally, GCF of Fractions for 6341/548, 9061/6871 is 17/3765308.