Use our free GCF of Fractions Calculator tool to compute the GCF of 3341/242, 6067/812 i.e 1/98252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3341/242, 6067/812.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3341/242,6067/812
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 3341/242,6067/812, numerators are 3341,6067
Denominators are 242,812
The GCF of 3341,6067 is 1 .
LCM of 242,812 is 98252.
The greatest common factor of 3341/242,6067/812 = [GCF of 3341,6067]/[LCM of 242,812]= 1/98252
Therefore, the GCF of 3341/242,6067/812 is 1/98252.
To find the highest common factor of 3341,6067, we have to find the factors of both numbers and list the highest common factor.
The factors of 3341 are 1, 13, 257, 3341
The factors of 6067 are 1, 6067
The HCF of 3341,6067 is 1.
Lets's calculate GCF of 3341,6067
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3341
:1,13,257,3341
Now, list down the factors of 6067
:1,6067
Greatest Common Factor
We found the factors 3341,6067 . The biggest common factor number is the GCF number.
So the greatest common factor 3341,6067 is 1.
Lets's calculate LCM of 242,812
2 | 242, 812 |
121, 406 |
∴ So the LCM of the given numbers is 2 x 121 x 406 = 98252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98252
Therefore, the GCF of Fractions 3341/242,6067/812 is 1/98252
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 242,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,812) x common factors =2 x 1 = 2
LCM(242,812) = ( 242 × 812 ) / 2
LCM(242,812) = 196504 / 2
LCM(242,812) = 98252
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3341,6067?
The HCF of 3341,6067 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 3341/242, 6067/812?
Answer: GCF of Numerators as per given numbers 3341/242, 6067/812 is
GCF of Numerators i.e. for 3341,6067 is 1
LCM of denominators i.e. for 242,812 is 98252.
Thus, GCF of Fractions is 1/98252.Finally, GCF of Fractions for 3341/242, 6067/812 is 1/98252.