Use our free GCF of Fractions Calculator tool to compute the GCF of 385/318, 910/401 i.e 35/127518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/318, 910/401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/318,910/401
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 385/318,910/401, numerators are 385,910
Denominators are 318,401
The GCF of 385,910 is 35 .
LCM of 318,401 is 127518.
The greatest common factor of 385/318,910/401 = [GCF of 385,910]/[LCM of 318,401]= 35/127518
Therefore, the GCF of 385/318,910/401 is 35/127518.
To find the highest common factor of 385,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 385,910 is 35.
Lets's calculate GCF of 385,910
5 | 385, 910 |
7 | 77, 182 |
11, 26 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 385,910 . The biggest common factor number is the GCF number.
So the greatest common factor 385,910 is 35.
Lets's calculate LCM of 318,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 127518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/127518
Therefore, the GCF of Fractions 385/318,910/401 is 35/127518
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 318,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(318,401) x common factors =1 x 1 = 1
LCM(318,401) = ( 318 × 401 ) / 1
LCM(318,401) = 127518 / 1
LCM(318,401) = 127518
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 385,910?
The HCF of 385,910 is 35
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 385/318, 910/401?
Answer: GCF of Numerators as per given numbers 385/318, 910/401 is
GCF of Numerators i.e. for 385,910 is 35
LCM of denominators i.e. for 318,401 is 127518.
Thus, GCF of Fractions is 35/127518.Finally, GCF of Fractions for 385/318, 910/401 is 35/127518.