Use our free GCF of Fractions Calculator tool to compute the GCF of 194/206, 914/148 i.e 2/15244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 194/206, 914/148.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 194/206,914/148
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 194/206,914/148, numerators are 194,914
Denominators are 206,148
The GCF of 194,914 is 2 .
LCM of 206,148 is 15244.
The greatest common factor of 194/206,914/148 = [GCF of 194,914]/[LCM of 206,148]= 2/15244
Therefore, the GCF of 194/206,914/148 is 2/15244.
To find the highest common factor of 194,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 194 are 1, 2, 97, 194
The factors of 914 are 1, 2, 457, 914
The HCF of 194,914 is 2.
Lets's calculate GCF of 194,914
2 | 194, 914 |
97, 457 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 194
:1,2,97,194
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 194,914 . The biggest common factor number is the GCF number.
So the greatest common factor 194,914 is 2.
Lets's calculate LCM of 206,148
2 | 206, 148 |
103, 74 |
∴ So the LCM of the given numbers is 2 x 103 x 74 = 15244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15244
Therefore, the GCF of Fractions 194/206,914/148 is 2/15244
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 206,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,148) x common factors =2 x 1 = 2
LCM(206,148) = ( 206 × 148 ) / 2
LCM(206,148) = 30488 / 2
LCM(206,148) = 15244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 194,914?
The HCF of 194,914 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 194/206, 914/148?
Answer: GCF of Numerators as per given numbers 194/206, 914/148 is
GCF of Numerators i.e. for 194,914 is 2
LCM of denominators i.e. for 206,148 is 15244.
Thus, GCF of Fractions is 2/15244.Finally, GCF of Fractions for 194/206, 914/148 is 2/15244.