Use our free GCF of Fractions Calculator tool to compute the GCF of 715/921, 317/276 i.e 1/84732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/921, 317/276.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/921,317/276
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 715/921,317/276, numerators are 715,317
Denominators are 921,276
The GCF of 715,317 is 1 .
LCM of 921,276 is 84732.
The greatest common factor of 715/921,317/276 = [GCF of 715,317]/[LCM of 921,276]= 1/84732
Therefore, the GCF of 715/921,317/276 is 1/84732.
To find the highest common factor of 715,317, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 317 are 1, 317
The HCF of 715,317 is 1.
Lets's calculate GCF of 715,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 317
:1,317
Greatest Common Factor
We found the factors 715,317 . The biggest common factor number is the GCF number.
So the greatest common factor 715,317 is 1.
Lets's calculate LCM of 921,276
3 | 921, 276 |
307, 92 |
∴ So the LCM of the given numbers is 3 x 307 x 92 = 84732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84732
Therefore, the GCF of Fractions 715/921,317/276 is 1/84732
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 921,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,276) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,276) x common factors =3 x 1 = 3
LCM(921,276) = ( 921 × 276 ) / 3
LCM(921,276) = 254196 / 3
LCM(921,276) = 84732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 715,317?
The HCF of 715,317 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 715/921, 317/276?
Answer: GCF of Numerators as per given numbers 715/921, 317/276 is
GCF of Numerators i.e. for 715,317 is 1
LCM of denominators i.e. for 921,276 is 84732.
Thus, GCF of Fractions is 1/84732.Finally, GCF of Fractions for 715/921, 317/276 is 1/84732.