Use our free GCF of Fractions Calculator tool to compute the GCF of 790/582, 9717/975 i.e 79/189150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/582, 9717/975.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/582,9717/975
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 790/582,9717/975, numerators are 790,9717
Denominators are 582,975
The GCF of 790,9717 is 79 .
LCM of 582,975 is 189150.
The greatest common factor of 790/582,9717/975 = [GCF of 790,9717]/[LCM of 582,975]= 79/189150
Therefore, the GCF of 790/582,9717/975 is 79/189150.
To find the highest common factor of 790,9717, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717
The HCF of 790,9717 is 79.
Lets's calculate GCF of 790,9717
79 | 790, 9717 |
10, 123 |
∴ So the GCF of the given numbers is 79 = 79
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 9717
:1,3,41,79,123,237,3239,9717
Greatest Common Factor
We found the factors 790,9717 . The biggest common factor number is the GCF number.
So the greatest common factor 790,9717 is 79.
Lets's calculate LCM of 582,975
3 | 582, 975 |
194, 325 |
∴ So the LCM of the given numbers is 3 x 194 x 325 = 189150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/189150
Therefore, the GCF of Fractions 790/582,9717/975 is 79/189150
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 582,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(582,975) x common factors =3 x 1 = 3
LCM(582,975) = ( 582 × 975 ) / 3
LCM(582,975) = 567450 / 3
LCM(582,975) = 189150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 790,9717?
The HCF of 790,9717 is 79
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 790/582, 9717/975?
Answer: GCF of Numerators as per given numbers 790/582, 9717/975 is
GCF of Numerators i.e. for 790,9717 is 79
LCM of denominators i.e. for 582,975 is 189150.
Thus, GCF of Fractions is 79/189150.Finally, GCF of Fractions for 790/582, 9717/975 is 79/189150.