Use our free GCF of Fractions Calculator tool to compute the GCF of 4030/582, 2171/7341 i.e 13/1424154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4030/582, 2171/7341.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4030/582,2171/7341
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 4030/582,2171/7341, numerators are 4030,2171
Denominators are 582,7341
The GCF of 4030,2171 is 13 .
LCM of 582,7341 is 1424154.
The greatest common factor of 4030/582,2171/7341 = [GCF of 4030,2171]/[LCM of 582,7341]= 13/1424154
Therefore, the GCF of 4030/582,2171/7341 is 13/1424154.
To find the highest common factor of 4030,2171, we have to find the factors of both numbers and list the highest common factor.
The factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
The factors of 2171 are 1, 13, 167, 2171
The HCF of 4030,2171 is 13.
Lets's calculate GCF of 4030,2171
13 | 4030, 2171 |
310, 167 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 4030
:1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Now, list down the factors of 2171
:1,13,167,2171
Greatest Common Factor
We found the factors 4030,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 4030,2171 is 13.
Lets's calculate LCM of 582,7341
3 | 582, 7341 |
194, 2447 |
∴ So the LCM of the given numbers is 3 x 194 x 2447 = 1424154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1424154
Therefore, the GCF of Fractions 4030/582,2171/7341 is 13/1424154
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 582,7341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,7341) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,7341) x common factors =3 x 1 = 3
LCM(582,7341) = ( 582 × 7341 ) / 3
LCM(582,7341) = 4272462 / 3
LCM(582,7341) = 1424154
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4030,2171?
The HCF of 4030,2171 is 13
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 4030/582, 2171/7341?
Answer: GCF of Numerators as per given numbers 4030/582, 2171/7341 is
GCF of Numerators i.e. for 4030,2171 is 13
LCM of denominators i.e. for 582,7341 is 1424154.
Thus, GCF of Fractions is 13/1424154.Finally, GCF of Fractions for 4030/582, 2171/7341 is 13/1424154.