Use our free GCF of Fractions Calculator tool to compute the GCF of 517/498, 565/755 i.e 1/375990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/498, 565/755.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/498,565/755
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 517/498,565/755, numerators are 517,565
Denominators are 498,755
The GCF of 517,565 is 1 .
LCM of 498,755 is 375990.
The greatest common factor of 517/498,565/755 = [GCF of 517,565]/[LCM of 498,755]= 1/375990
Therefore, the GCF of 517/498,565/755 is 1/375990.
To find the highest common factor of 517,565, we have to find the factors of both numbers and list the highest common factor.
The factors of 517 are 1, 11, 47, 517
The factors of 565 are 1, 5, 113, 565
The HCF of 517,565 is 1.
Lets's calculate GCF of 517,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 517
:1,11,47,517
Now, list down the factors of 565
:1,5,113,565
Greatest Common Factor
We found the factors 517,565 . The biggest common factor number is the GCF number.
So the greatest common factor 517,565 is 1.
Lets's calculate LCM of 498,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 375990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375990
Therefore, the GCF of Fractions 517/498,565/755 is 1/375990
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 498,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,755) x common factors =1 x 1 = 1
LCM(498,755) = ( 498 × 755 ) / 1
LCM(498,755) = 375990 / 1
LCM(498,755) = 375990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 517,565?
The HCF of 517,565 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 517/498, 565/755?
Answer: GCF of Numerators as per given numbers 517/498, 565/755 is
GCF of Numerators i.e. for 517,565 is 1
LCM of denominators i.e. for 498,755 is 375990.
Thus, GCF of Fractions is 1/375990.Finally, GCF of Fractions for 517/498, 565/755 is 1/375990.