Use our free GCF of Fractions Calculator tool to compute the GCF of 665/591, 695/105 i.e 5/20685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 665/591, 695/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/591,695/105
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 665/591,695/105, numerators are 665,695
Denominators are 591,105
The GCF of 665,695 is 5 .
LCM of 591,105 is 20685.
The greatest common factor of 665/591,695/105 = [GCF of 665,695]/[LCM of 591,105]= 5/20685
Therefore, the GCF of 665/591,695/105 is 5/20685.
To find the highest common factor of 665,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 695 are 1, 5, 139, 695
The HCF of 665,695 is 5.
Lets's calculate GCF of 665,695
5 | 665, 695 |
133, 139 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 665,695 . The biggest common factor number is the GCF number.
So the greatest common factor 665,695 is 5.
Lets's calculate LCM of 591,105
3 | 591, 105 |
197, 35 |
∴ So the LCM of the given numbers is 3 x 197 x 35 = 20685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20685
Therefore, the GCF of Fractions 665/591,695/105 is 5/20685
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 591,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,105) x common factors =3 x 1 = 3
LCM(591,105) = ( 591 × 105 ) / 3
LCM(591,105) = 62055 / 3
LCM(591,105) = 20685
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 665,695?
The HCF of 665,695 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 665/591, 695/105?
Answer: GCF of Numerators as per given numbers 665/591, 695/105 is
GCF of Numerators i.e. for 665,695 is 5
LCM of denominators i.e. for 591,105 is 20685.
Thus, GCF of Fractions is 5/20685.Finally, GCF of Fractions for 665/591, 695/105 is 5/20685.