Use our free GCF of Fractions Calculator tool to compute the GCF of 913/720, 734/789 i.e 1/189360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/720, 734/789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/720,734/789
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 913/720,734/789, numerators are 913,734
Denominators are 720,789
The GCF of 913,734 is 1 .
LCM of 720,789 is 189360.
The greatest common factor of 913/720,734/789 = [GCF of 913,734]/[LCM of 720,789]= 1/189360
Therefore, the GCF of 913/720,734/789 is 1/189360.
To find the highest common factor of 913,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 734 are 1, 2, 367, 734
The HCF of 913,734 is 1.
Lets's calculate GCF of 913,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 913,734 . The biggest common factor number is the GCF number.
So the greatest common factor 913,734 is 1.
Lets's calculate LCM of 720,789
3 | 720, 789 |
240, 263 |
∴ So the LCM of the given numbers is 3 x 240 x 263 = 189360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189360
Therefore, the GCF of Fractions 913/720,734/789 is 1/189360
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 720,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(720,789) x common factors =3 x 1 = 3
LCM(720,789) = ( 720 × 789 ) / 3
LCM(720,789) = 568080 / 3
LCM(720,789) = 189360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 913,734?
The HCF of 913,734 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 913/720, 734/789?
Answer: GCF of Numerators as per given numbers 913/720, 734/789 is
GCF of Numerators i.e. for 913,734 is 1
LCM of denominators i.e. for 720,789 is 189360.
Thus, GCF of Fractions is 1/189360.Finally, GCF of Fractions for 913/720, 734/789 is 1/189360.