Use our free GCF of Fractions Calculator tool to compute the GCF of 3975/448, 6816/8559 i.e 3/3834432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3975/448, 6816/8559.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3975/448,6816/8559
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 3975/448,6816/8559, numerators are 3975,6816
Denominators are 448,8559
The GCF of 3975,6816 is 3 .
LCM of 448,8559 is 3834432.
The greatest common factor of 3975/448,6816/8559 = [GCF of 3975,6816]/[LCM of 448,8559]= 3/3834432
Therefore, the GCF of 3975/448,6816/8559 is 3/3834432.
To find the highest common factor of 3975,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 3975,6816 is 3.
Lets's calculate GCF of 3975,6816
3 | 3975, 6816 |
1325, 2272 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 3975,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,6816 is 3.
Lets's calculate LCM of 448,8559
Given numbers has no common factors except 1. So, there LCM is their product i.e 3834432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3834432
Therefore, the GCF of Fractions 3975/448,6816/8559 is 3/3834432
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 448,8559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,8559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,8559) x common factors =1 x 1 = 1
LCM(448,8559) = ( 448 × 8559 ) / 1
LCM(448,8559) = 3834432 / 1
LCM(448,8559) = 3834432
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3975,6816?
The HCF of 3975,6816 is 3
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 3975/448, 6816/8559?
Answer: GCF of Numerators as per given numbers 3975/448, 6816/8559 is
GCF of Numerators i.e. for 3975,6816 is 3
LCM of denominators i.e. for 448,8559 is 3834432.
Thus, GCF of Fractions is 3/3834432.Finally, GCF of Fractions for 3975/448, 6816/8559 is 3/3834432.