Use our free GCF of Fractions Calculator tool to compute the GCF of 104/582, 5471/7480 i.e 1/2176680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/582, 5471/7480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 104/582,5471/7480
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 104/582,5471/7480, numerators are 104,5471
Denominators are 582,7480
The GCF of 104,5471 is 1 .
LCM of 582,7480 is 2176680.
The greatest common factor of 104/582,5471/7480 = [GCF of 104,5471]/[LCM of 582,7480]= 1/2176680
Therefore, the GCF of 104/582,5471/7480 is 1/2176680.
To find the highest common factor of 104,5471, we have to find the factors of both numbers and list the highest common factor.
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 5471 are 1, 5471
The HCF of 104,5471 is 1.
Lets's calculate GCF of 104,5471
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 5471
:1,5471
Greatest Common Factor
We found the factors 104,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 104,5471 is 1.
Lets's calculate LCM of 582,7480
2 | 582, 7480 |
291, 3740 |
∴ So the LCM of the given numbers is 2 x 291 x 3740 = 2176680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2176680
Therefore, the GCF of Fractions 104/582,5471/7480 is 1/2176680
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 582,7480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,7480) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,7480) x common factors =2 x 1 = 2
LCM(582,7480) = ( 582 × 7480 ) / 2
LCM(582,7480) = 4353360 / 2
LCM(582,7480) = 2176680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 104,5471?
The HCF of 104,5471 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 104/582, 5471/7480?
Answer: GCF of Numerators as per given numbers 104/582, 5471/7480 is
GCF of Numerators i.e. for 104,5471 is 1
LCM of denominators i.e. for 582,7480 is 2176680.
Thus, GCF of Fractions is 1/2176680.Finally, GCF of Fractions for 104/582, 5471/7480 is 1/2176680.