Use our free GCF of Fractions Calculator tool to compute the GCF of 791/309, 417/906 i.e 1/93318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/309, 417/906.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/309,417/906
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 791/309,417/906, numerators are 791,417
Denominators are 309,906
The GCF of 791,417 is 1 .
LCM of 309,906 is 93318.
The greatest common factor of 791/309,417/906 = [GCF of 791,417]/[LCM of 309,906]= 1/93318
Therefore, the GCF of 791/309,417/906 is 1/93318.
To find the highest common factor of 791,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 417 are 1, 3, 139, 417
The HCF of 791,417 is 1.
Lets's calculate GCF of 791,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 791,417 . The biggest common factor number is the GCF number.
So the greatest common factor 791,417 is 1.
Lets's calculate LCM of 309,906
3 | 309, 906 |
103, 302 |
∴ So the LCM of the given numbers is 3 x 103 x 302 = 93318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93318
Therefore, the GCF of Fractions 791/309,417/906 is 1/93318
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 309,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,906) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,906) x common factors =3 x 1 = 3
LCM(309,906) = ( 309 × 906 ) / 3
LCM(309,906) = 279954 / 3
LCM(309,906) = 93318
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,417?
The HCF of 791,417 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 791/309, 417/906?
Answer: GCF of Numerators as per given numbers 791/309, 417/906 is
GCF of Numerators i.e. for 791,417 is 1
LCM of denominators i.e. for 309,906 is 93318.
Thus, GCF of Fractions is 1/93318.Finally, GCF of Fractions for 791/309, 417/906 is 1/93318.