Use our free GCF of Fractions Calculator tool to compute the GCF of 48/64, 809/38, 175/601 i.e 1/730816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/64, 809/38, 175/601.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/64,809/38,175/601
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 48/64,809/38,175/601, numerators are 48,809,175
Denominators are 64,38,601
The GCF of 48,809,175 is 1 .
LCM of 64,38,601 is 730816.
The greatest common factor of 48/64,809/38,175/601 = [GCF of 48,809,175]/[LCM of 64,38,601]= 1/730816
Therefore, the GCF of 48/64,809/38,175/601 is 1/730816.
To find the highest common factor of 48,809,175, 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 809 are 1, 809
The factors of 175 are 1, 5, 7, 25, 35, 175
The HCF of 48,809,175 is 1.
Lets's calculate GCF of 48,809,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 809
:1,809
Now, list down the factors of 175
:1,5,7,25,35,175
Greatest Common Factor
We found the factors 48,809,175 . The biggest common factor number is the GCF number.
So the greatest common factor 48,809,175 is 1.
Lets's calculate LCM of 64,38,601
2 | 64, 38, 601 |
32, 19, 601 |
∴ So the LCM of the given numbers is 2 x 32 x 19 x 601 = 730816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730816
Therefore, the GCF of Fractions 48/64,809/38,175/601 is 1/730816
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 64,38,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,38,601) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,38,601) x common factors =1 x 2 = 2
LCM(64,38,601) = ( 64 × 38 × 601 ) / 2
LCM(64,38,601) = 1461632 / 2
LCM(64,38,601) = 730816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,809,175?
The HCF of 48,809,175 is 1
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 48/64, 809/38, 175/601?
Answer: GCF of Numerators as per given numbers 48/64, 809/38, 175/601 is
GCF of Numerators i.e. for 48,809,175 is 1
LCM of denominators i.e. for 64,38,601 is 730816.
Thus, GCF of Fractions is 1/730816.Finally, GCF of Fractions for 48/64, 809/38, 175/601 is 1/730816.