Use our free GCF of Fractions Calculator tool to compute the GCF of 48/351, 10/455, 442/978 i.e 2/4004910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/351, 10/455, 442/978.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/351,10/455,442/978
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 48/351,10/455,442/978, numerators are 48,10,442
Denominators are 351,455,978
The GCF of 48,10,442 is 2 .
LCM of 351,455,978 is 4004910.
The greatest common factor of 48/351,10/455,442/978 = [GCF of 48,10,442]/[LCM of 351,455,978]= 2/4004910
Therefore, the GCF of 48/351,10/455,442/978 is 2/4004910.
To find the highest common factor of 48,10,442, 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 10 are 1, 2, 5, 10
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 48,10,442 is 2.
Lets's calculate GCF of 48,10,442
2 | 48, 10, 442 |
24, 5, 221 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 48,10,442 . The biggest common factor number is the GCF number.
So the greatest common factor 48,10,442 is 2.
Lets's calculate LCM of 351,455,978
3 | 351, 455, 978 |
13 | 117, 455, 326 |
9, 35, 326 |
∴ So the LCM of the given numbers is 3 x 13 x 9 x 35 x 326 = 4004910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4004910
Therefore, the GCF of Fractions 48/351,10/455,442/978 is 2/4004910
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 351,455,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,455,978) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(351,455,978) x common factors =1 x 39 = 39
LCM(351,455,978) = ( 351 × 455 × 978 ) / 39
LCM(351,455,978) = 156191490 / 39
LCM(351,455,978) = 4004910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,10,442?
The HCF of 48,10,442 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 48/351, 10/455, 442/978?
Answer: GCF of Numerators as per given numbers 48/351, 10/455, 442/978 is
GCF of Numerators i.e. for 48,10,442 is 2
LCM of denominators i.e. for 351,455,978 is 4004910.
Thus, GCF of Fractions is 2/4004910.Finally, GCF of Fractions for 48/351, 10/455, 442/978 is 2/4004910.