Use our free GCF of Fractions Calculator tool to compute the GCF of 518/768, 865/791 i.e 1/607488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/768, 865/791.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/768,865/791
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 518/768,865/791, numerators are 518,865
Denominators are 768,791
The GCF of 518,865 is 1 .
LCM of 768,791 is 607488.
The greatest common factor of 518/768,865/791 = [GCF of 518,865]/[LCM of 768,791]= 1/607488
Therefore, the GCF of 518/768,865/791 is 1/607488.
To find the highest common factor of 518,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 865 are 1, 5, 173, 865
The HCF of 518,865 is 1.
Lets's calculate GCF of 518,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 518,865 . The biggest common factor number is the GCF number.
So the greatest common factor 518,865 is 1.
Lets's calculate LCM of 768,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 607488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607488
Therefore, the GCF of Fractions 518/768,865/791 is 1/607488
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 768,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,791) x common factors =1 x 1 = 1
LCM(768,791) = ( 768 × 791 ) / 1
LCM(768,791) = 607488 / 1
LCM(768,791) = 607488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,865?
The HCF of 518,865 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 518/768, 865/791?
Answer: GCF of Numerators as per given numbers 518/768, 865/791 is
GCF of Numerators i.e. for 518,865 is 1
LCM of denominators i.e. for 768,791 is 607488.
Thus, GCF of Fractions is 1/607488.Finally, GCF of Fractions for 518/768, 865/791 is 1/607488.