Use our free GCF of Fractions Calculator tool to compute the GCF of 6497/550, 5186/9457 i.e 1/5201350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6497/550, 5186/9457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6497/550,5186/9457
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 6497/550,5186/9457, numerators are 6497,5186
Denominators are 550,9457
The GCF of 6497,5186 is 1 .
LCM of 550,9457 is 5201350.
The greatest common factor of 6497/550,5186/9457 = [GCF of 6497,5186]/[LCM of 550,9457]= 1/5201350
Therefore, the GCF of 6497/550,5186/9457 is 1/5201350.
To find the highest common factor of 6497,5186, we have to find the factors of both numbers and list the highest common factor.
The factors of 6497 are 1, 73, 89, 6497
The factors of 5186 are 1, 2, 2593, 5186
The HCF of 6497,5186 is 1.
Lets's calculate GCF of 6497,5186
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6497
:1,73,89,6497
Now, list down the factors of 5186
:1,2,2593,5186
Greatest Common Factor
We found the factors 6497,5186 . The biggest common factor number is the GCF number.
So the greatest common factor 6497,5186 is 1.
Lets's calculate LCM of 550,9457
Given numbers has no common factors except 1. So, there LCM is their product i.e 5201350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5201350
Therefore, the GCF of Fractions 6497/550,5186/9457 is 1/5201350
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 550,9457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,9457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,9457) x common factors =1 x 1 = 1
LCM(550,9457) = ( 550 × 9457 ) / 1
LCM(550,9457) = 5201350 / 1
LCM(550,9457) = 5201350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6497,5186?
The HCF of 6497,5186 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 6497/550, 5186/9457?
Answer: GCF of Numerators as per given numbers 6497/550, 5186/9457 is
GCF of Numerators i.e. for 6497,5186 is 1
LCM of denominators i.e. for 550,9457 is 5201350.
Thus, GCF of Fractions is 1/5201350.Finally, GCF of Fractions for 6497/550, 5186/9457 is 1/5201350.