Use our free GCF of Fractions Calculator tool to compute the GCF of 148/931, 409/994 i.e 1/132202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/931, 409/994.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 148/931,409/994
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 148/931,409/994, numerators are 148,409
Denominators are 931,994
The GCF of 148,409 is 1 .
LCM of 931,994 is 132202.
The greatest common factor of 148/931,409/994 = [GCF of 148,409]/[LCM of 931,994]= 1/132202
Therefore, the GCF of 148/931,409/994 is 1/132202.
To find the highest common factor of 148,409, we have to find the factors of both numbers and list the highest common factor.
The factors of 148 are 1, 2, 4, 37, 74, 148
The factors of 409 are 1, 409
The HCF of 148,409 is 1.
Lets's calculate GCF of 148,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 148
:1,2,4,37,74,148
Now, list down the factors of 409
:1,409
Greatest Common Factor
We found the factors 148,409 . The biggest common factor number is the GCF number.
So the greatest common factor 148,409 is 1.
Lets's calculate LCM of 931,994
7 | 931, 994 |
133, 142 |
∴ So the LCM of the given numbers is 7 x 133 x 142 = 132202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132202
Therefore, the GCF of Fractions 148/931,409/994 is 1/132202
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 931,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,994) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(931,994) x common factors =7 x 1 = 7
LCM(931,994) = ( 931 × 994 ) / 7
LCM(931,994) = 925414 / 7
LCM(931,994) = 132202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 148,409?
The HCF of 148,409 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 148/931, 409/994?
Answer: GCF of Numerators as per given numbers 148/931, 409/994 is
GCF of Numerators i.e. for 148,409 is 1
LCM of denominators i.e. for 931,994 is 132202.
Thus, GCF of Fractions is 1/132202.Finally, GCF of Fractions for 148/931, 409/994 is 1/132202.