Use our free GCF of Fractions Calculator tool to compute the GCF of 386/365, 458/948 i.e 2/346020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 386/365, 458/948.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/365,458/948
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 386/365,458/948, numerators are 386,458
Denominators are 365,948
The GCF of 386,458 is 2 .
LCM of 365,948 is 346020.
The greatest common factor of 386/365,458/948 = [GCF of 386,458]/[LCM of 365,948]= 2/346020
Therefore, the GCF of 386/365,458/948 is 2/346020.
To find the highest common factor of 386,458, we have to find the factors of both numbers and list the highest common factor.
The factors of 386 are 1, 2, 193, 386
The factors of 458 are 1, 2, 229, 458
The HCF of 386,458 is 2.
Lets's calculate GCF of 386,458
2 | 386, 458 |
193, 229 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 386
:1,2,193,386
Now, list down the factors of 458
:1,2,229,458
Greatest Common Factor
We found the factors 386,458 . The biggest common factor number is the GCF number.
So the greatest common factor 386,458 is 2.
Lets's calculate LCM of 365,948
Given numbers has no common factors except 1. So, there LCM is their product i.e 346020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/346020
Therefore, the GCF of Fractions 386/365,458/948 is 2/346020
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 365,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,948) x common factors =1 x 1 = 1
LCM(365,948) = ( 365 × 948 ) / 1
LCM(365,948) = 346020 / 1
LCM(365,948) = 346020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 386,458?
The HCF of 386,458 is 2
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 386/365, 458/948?
Answer: GCF of Numerators as per given numbers 386/365, 458/948 is
GCF of Numerators i.e. for 386,458 is 2
LCM of denominators i.e. for 365,948 is 346020.
Thus, GCF of Fractions is 2/346020.Finally, GCF of Fractions for 386/365, 458/948 is 2/346020.