Use our free GCF of Fractions Calculator tool to compute the GCF of 4/96, 2/26, 4/56, 54/494 i.e 2/165984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/96, 2/26, 4/56, 54/494.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/96,2/26,4/56,54/494
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 4/96,2/26,4/56,54/494, numerators are 4,2,4,54
Denominators are 96,26,56,494
The GCF of 4,2,4,54 is 2 .
LCM of 96,26,56,494 is 165984.
The greatest common factor of 4/96,2/26,4/56,54/494 = [GCF of 4,2,4,54]/[LCM of 96,26,56,494]= 2/165984
Therefore, the GCF of 4/96,2/26,4/56,54/494 is 2/165984.
To find the highest common factor of 4,2,4,54, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 2 are 1, 2
The factors of 4 are 1, 2, 4
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The HCF of 4,2,4,54 is 2.
Lets's calculate GCF of 4,2,4,54
2 | 4, 2, 4, 54 |
2, 1, 2, 27 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 2
:1,2
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 4,2,4,54 . The biggest common factor number is the GCF number.
So the greatest common factor 4,2,4,54 is 2.
Lets's calculate LCM of 96,26,56,494
2 | 96, 26, 56, 494 |
2 | 48, 13, 28, 247 |
2 | 24, 13, 14, 247 |
13 | 12, 13, 7, 247 |
12, 1, 7, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 12 x 1 x 7 x 19 = 165984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165984
Therefore, the GCF of Fractions 4/96,2/26,4/56,54/494 is 2/165984
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 96,26,56,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,26,56,494) = 2
common factors(in case of two or more numbers have common factors) = 208
GCF(96,26,56,494) x common factors =2 x 208 = 416
LCM(96,26,56,494) = ( 96 × 26 × 56 × 494 ) / 416
LCM(96,26,56,494) = 69049344 / 416
LCM(96,26,56,494) = 165984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,2,4,54?
The HCF of 4,2,4,54 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 4/96, 2/26, 4/56, 54/494?
Answer: GCF of Numerators as per given numbers 4/96, 2/26, 4/56, 54/494 is
GCF of Numerators i.e. for 4,2,4,54 is 2
LCM of denominators i.e. for 96,26,56,494 is 165984.
Thus, GCF of Fractions is 2/165984.Finally, GCF of Fractions for 4/96, 2/26, 4/56, 54/494 is 2/165984.