Use our free GCF of Fractions Calculator tool to compute the GCF of 626/599, 498/517 i.e 2/309683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/599, 498/517.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/599,498/517
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 626/599,498/517, numerators are 626,498
Denominators are 599,517
The GCF of 626,498 is 2 .
LCM of 599,517 is 309683.
The greatest common factor of 626/599,498/517 = [GCF of 626,498]/[LCM of 599,517]= 2/309683
Therefore, the GCF of 626/599,498/517 is 2/309683.
To find the highest common factor of 626,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 626 are 1, 2, 313, 626
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 626,498 is 2.
Lets's calculate GCF of 626,498
2 | 626, 498 |
313, 249 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 626,498 . The biggest common factor number is the GCF number.
So the greatest common factor 626,498 is 2.
Lets's calculate LCM of 599,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 309683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309683
Therefore, the GCF of Fractions 626/599,498/517 is 2/309683
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 599,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,517) x common factors =1 x 1 = 1
LCM(599,517) = ( 599 × 517 ) / 1
LCM(599,517) = 309683 / 1
LCM(599,517) = 309683
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 626,498?
The HCF of 626,498 is 2
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 626/599, 498/517?
Answer: GCF of Numerators as per given numbers 626/599, 498/517 is
GCF of Numerators i.e. for 626,498 is 2
LCM of denominators i.e. for 599,517 is 309683.
Thus, GCF of Fractions is 2/309683.Finally, GCF of Fractions for 626/599, 498/517 is 2/309683.