Use our free GCF of Fractions Calculator tool to compute the GCF of 3896/501, 4201/3525 i.e 1/588675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3896/501, 4201/3525.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3896/501,4201/3525
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 3896/501,4201/3525, numerators are 3896,4201
Denominators are 501,3525
The GCF of 3896,4201 is 1 .
LCM of 501,3525 is 588675.
The greatest common factor of 3896/501,4201/3525 = [GCF of 3896,4201]/[LCM of 501,3525]= 1/588675
Therefore, the GCF of 3896/501,4201/3525 is 1/588675.
To find the highest common factor of 3896,4201, we have to find the factors of both numbers and list the highest common factor.
The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896
The factors of 4201 are 1, 4201
The HCF of 3896,4201 is 1.
Lets's calculate GCF of 3896,4201
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3896
:1,2,4,8,487,974,1948,3896
Now, list down the factors of 4201
:1,4201
Greatest Common Factor
We found the factors 3896,4201 . The biggest common factor number is the GCF number.
So the greatest common factor 3896,4201 is 1.
Lets's calculate LCM of 501,3525
3 | 501, 3525 |
167, 1175 |
∴ So the LCM of the given numbers is 3 x 167 x 1175 = 588675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/588675
Therefore, the GCF of Fractions 3896/501,4201/3525 is 1/588675
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 501,3525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3525) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3525) x common factors =3 x 1 = 3
LCM(501,3525) = ( 501 × 3525 ) / 3
LCM(501,3525) = 1766025 / 3
LCM(501,3525) = 588675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3896,4201?
The HCF of 3896,4201 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 3896/501, 4201/3525?
Answer: GCF of Numerators as per given numbers 3896/501, 4201/3525 is
GCF of Numerators i.e. for 3896,4201 is 1
LCM of denominators i.e. for 501,3525 is 588675.
Thus, GCF of Fractions is 1/588675.Finally, GCF of Fractions for 3896/501, 4201/3525 is 1/588675.