Use our free GCF of Fractions Calculator tool to compute the GCF of 132/251, 386/414 i.e 2/103914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/251, 386/414.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/251,386/414
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 132/251,386/414, numerators are 132,386
Denominators are 251,414
The GCF of 132,386 is 2 .
LCM of 251,414 is 103914.
The greatest common factor of 132/251,386/414 = [GCF of 132,386]/[LCM of 251,414]= 2/103914
Therefore, the GCF of 132/251,386/414 is 2/103914.
To find the highest common factor of 132,386, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 386 are 1, 2, 193, 386
The HCF of 132,386 is 2.
Lets's calculate GCF of 132,386
2 | 132, 386 |
66, 193 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 386
:1,2,193,386
Greatest Common Factor
We found the factors 132,386 . The biggest common factor number is the GCF number.
So the greatest common factor 132,386 is 2.
Lets's calculate LCM of 251,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 103914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103914
Therefore, the GCF of Fractions 132/251,386/414 is 2/103914
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 251,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,414) x common factors =1 x 1 = 1
LCM(251,414) = ( 251 × 414 ) / 1
LCM(251,414) = 103914 / 1
LCM(251,414) = 103914
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,386?
The HCF of 132,386 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 132/251, 386/414?
Answer: GCF of Numerators as per given numbers 132/251, 386/414 is
GCF of Numerators i.e. for 132,386 is 2
LCM of denominators i.e. for 251,414 is 103914.
Thus, GCF of Fractions is 2/103914.Finally, GCF of Fractions for 132/251, 386/414 is 2/103914.