Use our free GCF of Fractions Calculator tool to compute the GCF of 4085/407, 7638/9401 i.e 19/3826207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4085/407, 7638/9401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4085/407,7638/9401
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 4085/407,7638/9401, numerators are 4085,7638
Denominators are 407,9401
The GCF of 4085,7638 is 19 .
LCM of 407,9401 is 3826207.
The greatest common factor of 4085/407,7638/9401 = [GCF of 4085,7638]/[LCM of 407,9401]= 19/3826207
Therefore, the GCF of 4085/407,7638/9401 is 19/3826207.
To find the highest common factor of 4085,7638, we have to find the factors of both numbers and list the highest common factor.
The factors of 4085 are 1, 5, 19, 43, 95, 215, 817, 4085
The factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638
The HCF of 4085,7638 is 19.
Lets's calculate GCF of 4085,7638
19 | 4085, 7638 |
215, 402 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 4085
:1,5,19,43,95,215,817,4085
Now, list down the factors of 7638
:1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638
Greatest Common Factor
We found the factors 4085,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 4085,7638 is 19.
Lets's calculate LCM of 407,9401
Given numbers has no common factors except 1. So, there LCM is their product i.e 3826207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3826207
Therefore, the GCF of Fractions 4085/407,7638/9401 is 19/3826207
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 407,9401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,9401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,9401) x common factors =1 x 1 = 1
LCM(407,9401) = ( 407 × 9401 ) / 1
LCM(407,9401) = 3826207 / 1
LCM(407,9401) = 3826207
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4085,7638?
The HCF of 4085,7638 is 19
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 4085/407, 7638/9401?
Answer: GCF of Numerators as per given numbers 4085/407, 7638/9401 is
GCF of Numerators i.e. for 4085,7638 is 19
LCM of denominators i.e. for 407,9401 is 3826207.
Thus, GCF of Fractions is 19/3826207.Finally, GCF of Fractions for 4085/407, 7638/9401 is 19/3826207.