Use our free GCF of Fractions Calculator tool to compute the GCF of 404/296, 548/968 i.e 4/35816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/296, 548/968.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/296,548/968
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 404/296,548/968, numerators are 404,548
Denominators are 296,968
The GCF of 404,548 is 4 .
LCM of 296,968 is 35816.
The greatest common factor of 404/296,548/968 = [GCF of 404,548]/[LCM of 296,968]= 4/35816
Therefore, the GCF of 404/296,548/968 is 4/35816.
To find the highest common factor of 404,548, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 548 are 1, 2, 4, 137, 274, 548
The HCF of 404,548 is 4.
Lets's calculate GCF of 404,548
2 | 404, 548 |
2 | 202, 274 |
101, 137 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 548
:1,2,4,137,274,548
Greatest Common Factor
We found the factors 404,548 . The biggest common factor number is the GCF number.
So the greatest common factor 404,548 is 4.
Lets's calculate LCM of 296,968
2 | 296, 968 |
2 | 148, 484 |
2 | 74, 242 |
37, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 121 = 35816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35816
Therefore, the GCF of Fractions 404/296,548/968 is 4/35816
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 296,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,968) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,968) x common factors =8 x 1 = 8
LCM(296,968) = ( 296 × 968 ) / 8
LCM(296,968) = 286528 / 8
LCM(296,968) = 35816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 404,548?
The HCF of 404,548 is 4
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 404/296, 548/968?
Answer: GCF of Numerators as per given numbers 404/296, 548/968 is
GCF of Numerators i.e. for 404,548 is 4
LCM of denominators i.e. for 296,968 is 35816.
Thus, GCF of Fractions is 4/35816.Finally, GCF of Fractions for 404/296, 548/968 is 4/35816.