Use our free GCF of Fractions Calculator tool to compute the GCF of 745/394, 760/365 i.e 5/143810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/394, 760/365.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/394,760/365
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 745/394,760/365, numerators are 745,760
Denominators are 394,365
The GCF of 745,760 is 5 .
LCM of 394,365 is 143810.
The greatest common factor of 745/394,760/365 = [GCF of 745,760]/[LCM of 394,365]= 5/143810
Therefore, the GCF of 745/394,760/365 is 5/143810.
To find the highest common factor of 745,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 745 are 1, 5, 149, 745
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 745,760 is 5.
Lets's calculate GCF of 745,760
5 | 745, 760 |
149, 152 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 745
:1,5,149,745
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 745,760 . The biggest common factor number is the GCF number.
So the greatest common factor 745,760 is 5.
Lets's calculate LCM of 394,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 143810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/143810
Therefore, the GCF of Fractions 745/394,760/365 is 5/143810
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 394,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,365) x common factors =1 x 1 = 1
LCM(394,365) = ( 394 × 365 ) / 1
LCM(394,365) = 143810 / 1
LCM(394,365) = 143810
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 745,760?
The HCF of 745,760 is 5
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 745/394, 760/365?
Answer: GCF of Numerators as per given numbers 745/394, 760/365 is
GCF of Numerators i.e. for 745,760 is 5
LCM of denominators i.e. for 394,365 is 143810.
Thus, GCF of Fractions is 5/143810.Finally, GCF of Fractions for 745/394, 760/365 is 5/143810.