Use our free GCF of Fractions Calculator tool to compute the GCF of 6061/436, 5819/6477 i.e 11/2823972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6061/436, 5819/6477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6061/436,5819/6477
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 6061/436,5819/6477, numerators are 6061,5819
Denominators are 436,6477
The GCF of 6061,5819 is 11 .
LCM of 436,6477 is 2823972.
The greatest common factor of 6061/436,5819/6477 = [GCF of 6061,5819]/[LCM of 436,6477]= 11/2823972
Therefore, the GCF of 6061/436,5819/6477 is 11/2823972.
To find the highest common factor of 6061,5819, we have to find the factors of both numbers and list the highest common factor.
The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061
The factors of 5819 are 1, 11, 23, 253, 529, 5819
The HCF of 6061,5819 is 11.
Lets's calculate GCF of 6061,5819
11 | 6061, 5819 |
551, 529 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 6061
:1,11,19,29,209,319,551,6061
Now, list down the factors of 5819
:1,11,23,253,529,5819
Greatest Common Factor
We found the factors 6061,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 6061,5819 is 11.
Lets's calculate LCM of 436,6477
Given numbers has no common factors except 1. So, there LCM is their product i.e 2823972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2823972
Therefore, the GCF of Fractions 6061/436,5819/6477 is 11/2823972
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 436,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,6477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,6477) x common factors =1 x 1 = 1
LCM(436,6477) = ( 436 × 6477 ) / 1
LCM(436,6477) = 2823972 / 1
LCM(436,6477) = 2823972
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6061,5819?
The HCF of 6061,5819 is 11
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 6061/436, 5819/6477?
Answer: GCF of Numerators as per given numbers 6061/436, 5819/6477 is
GCF of Numerators i.e. for 6061,5819 is 11
LCM of denominators i.e. for 436,6477 is 2823972.
Thus, GCF of Fractions is 11/2823972.Finally, GCF of Fractions for 6061/436, 5819/6477 is 11/2823972.