Use our free GCF of Fractions Calculator tool to compute the GCF of 825/262, 739/144 i.e 1/18864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/262, 739/144.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/262,739/144
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 825/262,739/144, numerators are 825,739
Denominators are 262,144
The GCF of 825,739 is 1 .
LCM of 262,144 is 18864.
The greatest common factor of 825/262,739/144 = [GCF of 825,739]/[LCM of 262,144]= 1/18864
Therefore, the GCF of 825/262,739/144 is 1/18864.
To find the highest common factor of 825,739, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 739 are 1, 739
The HCF of 825,739 is 1.
Lets's calculate GCF of 825,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 739
:1,739
Greatest Common Factor
We found the factors 825,739 . The biggest common factor number is the GCF number.
So the greatest common factor 825,739 is 1.
Lets's calculate LCM of 262,144
2 | 262, 144 |
131, 72 |
∴ So the LCM of the given numbers is 2 x 131 x 72 = 18864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18864
Therefore, the GCF of Fractions 825/262,739/144 is 1/18864
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 262,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,144) x common factors =2 x 1 = 2
LCM(262,144) = ( 262 × 144 ) / 2
LCM(262,144) = 37728 / 2
LCM(262,144) = 18864
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 825,739?
The HCF of 825,739 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 825/262, 739/144?
Answer: GCF of Numerators as per given numbers 825/262, 739/144 is
GCF of Numerators i.e. for 825,739 is 1
LCM of denominators i.e. for 262,144 is 18864.
Thus, GCF of Fractions is 1/18864.Finally, GCF of Fractions for 825/262, 739/144 is 1/18864.