Use our free GCF of Fractions Calculator tool to compute the GCF of 384/28, 646/295 i.e 2/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/28, 646/295.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/28,646/295
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 384/28,646/295, numerators are 384,646
Denominators are 28,295
The GCF of 384,646 is 2 .
LCM of 28,295 is 8260.
The greatest common factor of 384/28,646/295 = [GCF of 384,646]/[LCM of 28,295]= 2/8260
Therefore, the GCF of 384/28,646/295 is 2/8260.
To find the highest common factor of 384,646, we have to find the factors of both numbers and list the highest common factor.
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The HCF of 384,646 is 2.
Lets's calculate GCF of 384,646
2 | 384, 646 |
192, 323 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 384,646 . The biggest common factor number is the GCF number.
So the greatest common factor 384,646 is 2.
Lets's calculate LCM of 28,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 8260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8260
Therefore, the GCF of Fractions 384/28,646/295 is 2/8260
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 28,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,295) x common factors =1 x 1 = 1
LCM(28,295) = ( 28 × 295 ) / 1
LCM(28,295) = 8260 / 1
LCM(28,295) = 8260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 384,646?
The HCF of 384,646 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 384/28, 646/295?
Answer: GCF of Numerators as per given numbers 384/28, 646/295 is
GCF of Numerators i.e. for 384,646 is 2
LCM of denominators i.e. for 28,295 is 8260.
Thus, GCF of Fractions is 2/8260.Finally, GCF of Fractions for 384/28, 646/295 is 2/8260.