Use our free GCF of Fractions Calculator tool to compute the GCF of 515/873, 124/926 i.e 1/808398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/873, 124/926.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/873,124/926
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 515/873,124/926, numerators are 515,124
Denominators are 873,926
The GCF of 515,124 is 1 .
LCM of 873,926 is 808398.
The greatest common factor of 515/873,124/926 = [GCF of 515,124]/[LCM of 873,926]= 1/808398
Therefore, the GCF of 515/873,124/926 is 1/808398.
To find the highest common factor of 515,124, we have to find the factors of both numbers and list the highest common factor.
The factors of 515 are 1, 5, 103, 515
The factors of 124 are 1, 2, 4, 31, 62, 124
The HCF of 515,124 is 1.
Lets's calculate GCF of 515,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 124
:1,2,4,31,62,124
Greatest Common Factor
We found the factors 515,124 . The biggest common factor number is the GCF number.
So the greatest common factor 515,124 is 1.
Lets's calculate LCM of 873,926
Given numbers has no common factors except 1. So, there LCM is their product i.e 808398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808398
Therefore, the GCF of Fractions 515/873,124/926 is 1/808398
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 873,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,926) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,926) x common factors =1 x 1 = 1
LCM(873,926) = ( 873 × 926 ) / 1
LCM(873,926) = 808398 / 1
LCM(873,926) = 808398
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 515,124?
The HCF of 515,124 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 515/873, 124/926?
Answer: GCF of Numerators as per given numbers 515/873, 124/926 is
GCF of Numerators i.e. for 515,124 is 1
LCM of denominators i.e. for 873,926 is 808398.
Thus, GCF of Fractions is 1/808398.Finally, GCF of Fractions for 515/873, 124/926 is 1/808398.