Use our free GCF of Fractions Calculator tool to compute the GCF of 4/54, 96/658, 46/843 i.e 2/4992246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/54, 96/658, 46/843.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/54,96/658,46/843
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 4/54,96/658,46/843, numerators are 4,96,46
Denominators are 54,658,843
The GCF of 4,96,46 is 2 .
LCM of 54,658,843 is 4992246.
The greatest common factor of 4/54,96/658,46/843 = [GCF of 4,96,46]/[LCM of 54,658,843]= 2/4992246
Therefore, the GCF of 4/54,96/658,46/843 is 2/4992246.
To find the highest common factor of 4,96,46, 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 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 46 are 1, 2, 23, 46
The HCF of 4,96,46 is 2.
Lets's calculate GCF of 4,96,46
2 | 4, 96, 46 |
2, 48, 23 |
∴ 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 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 46
:1,2,23,46
Greatest Common Factor
We found the factors 4,96,46 . The biggest common factor number is the GCF number.
So the greatest common factor 4,96,46 is 2.
Lets's calculate LCM of 54,658,843
2 | 54, 658, 843 |
3 | 27, 329, 843 |
9, 329, 281 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 329 x 281 = 4992246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4992246
Therefore, the GCF of Fractions 4/54,96/658,46/843 is 2/4992246
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 54,658,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,658,843) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(54,658,843) x common factors =1 x 6 = 6
LCM(54,658,843) = ( 54 × 658 × 843 ) / 6
LCM(54,658,843) = 29953476 / 6
LCM(54,658,843) = 4992246
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,96,46?
The HCF of 4,96,46 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 4/54, 96/658, 46/843?
Answer: GCF of Numerators as per given numbers 4/54, 96/658, 46/843 is
GCF of Numerators i.e. for 4,96,46 is 2
LCM of denominators i.e. for 54,658,843 is 4992246.
Thus, GCF of Fractions is 2/4992246.Finally, GCF of Fractions for 4/54, 96/658, 46/843 is 2/4992246.