Use our free GCF of Fractions Calculator tool to compute the GCF of 48/813, 402/488, 288/864 i.e 6/14282784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/813, 402/488, 288/864.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/813,402/488,288/864
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 48/813,402/488,288/864, numerators are 48,402,288
Denominators are 813,488,864
The GCF of 48,402,288 is 6 .
LCM of 813,488,864 is 14282784.
The greatest common factor of 48/813,402/488,288/864 = [GCF of 48,402,288]/[LCM of 813,488,864]= 6/14282784
Therefore, the GCF of 48/813,402/488,288/864 is 6/14282784.
To find the highest common factor of 48,402,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 48,402,288 is 6.
Lets's calculate GCF of 48,402,288
2 | 48, 402, 288 |
3 | 24, 201, 144 |
8, 67, 48 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 48,402,288 . The biggest common factor number is the GCF number.
So the greatest common factor 48,402,288 is 6.
Lets's calculate LCM of 813,488,864
2 | 813, 488, 864 |
2 | 813, 244, 432 |
2 | 813, 122, 216 |
3 | 813, 61, 108 |
271, 61, 36 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 271 x 61 x 36 = 14282784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14282784
Therefore, the GCF of Fractions 48/813,402/488,288/864 is 6/14282784
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 813,488,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,488,864) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(813,488,864) x common factors =1 x 24 = 24
LCM(813,488,864) = ( 813 × 488 × 864 ) / 24
LCM(813,488,864) = 342786816 / 24
LCM(813,488,864) = 14282784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,402,288?
The HCF of 48,402,288 is 6
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 48/813, 402/488, 288/864?
Answer: GCF of Numerators as per given numbers 48/813, 402/488, 288/864 is
GCF of Numerators i.e. for 48,402,288 is 6
LCM of denominators i.e. for 813,488,864 is 14282784.
Thus, GCF of Fractions is 6/14282784.Finally, GCF of Fractions for 48/813, 402/488, 288/864 is 6/14282784.