Use our free GCF of Fractions Calculator tool to compute the GCF of 605/518, 847/781 i.e 121/404558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 605/518, 847/781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/518,847/781
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 605/518,847/781, numerators are 605,847
Denominators are 518,781
The GCF of 605,847 is 121 .
LCM of 518,781 is 404558.
The greatest common factor of 605/518,847/781 = [GCF of 605,847]/[LCM of 518,781]= 121/404558
Therefore, the GCF of 605/518,847/781 is 121/404558.
To find the highest common factor of 605,847, we have to find the factors of both numbers and list the highest common factor.
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 847 are 1, 7, 11, 77, 121, 847
The HCF of 605,847 is 121.
Lets's calculate GCF of 605,847
11 | 605, 847 |
11 | 55, 77 |
5, 7 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 605,847 . The biggest common factor number is the GCF number.
So the greatest common factor 605,847 is 121.
Lets's calculate LCM of 518,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 404558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/404558
Therefore, the GCF of Fractions 605/518,847/781 is 121/404558
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 518,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,781) x common factors =1 x 1 = 1
LCM(518,781) = ( 518 × 781 ) / 1
LCM(518,781) = 404558 / 1
LCM(518,781) = 404558
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 605,847?
The HCF of 605,847 is 121
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 605/518, 847/781?
Answer: GCF of Numerators as per given numbers 605/518, 847/781 is
GCF of Numerators i.e. for 605,847 is 121
LCM of denominators i.e. for 518,781 is 404558.
Thus, GCF of Fractions is 121/404558.Finally, GCF of Fractions for 605/518, 847/781 is 121/404558.