Use our free GCF of Fractions Calculator tool to compute the GCF of 815/525, 659/524 i.e 1/275100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/525, 659/524.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/525,659/524
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 815/525,659/524, numerators are 815,659
Denominators are 525,524
The GCF of 815,659 is 1 .
LCM of 525,524 is 275100.
The greatest common factor of 815/525,659/524 = [GCF of 815,659]/[LCM of 525,524]= 1/275100
Therefore, the GCF of 815/525,659/524 is 1/275100.
To find the highest common factor of 815,659, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 659 are 1, 659
The HCF of 815,659 is 1.
Lets's calculate GCF of 815,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 659
:1,659
Greatest Common Factor
We found the factors 815,659 . The biggest common factor number is the GCF number.
So the greatest common factor 815,659 is 1.
Lets's calculate LCM of 525,524
Given numbers has no common factors except 1. So, there LCM is their product i.e 275100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275100
Therefore, the GCF of Fractions 815/525,659/524 is 1/275100
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 525,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,524) x common factors =1 x 1 = 1
LCM(525,524) = ( 525 × 524 ) / 1
LCM(525,524) = 275100 / 1
LCM(525,524) = 275100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 815,659?
The HCF of 815,659 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 815/525, 659/524?
Answer: GCF of Numerators as per given numbers 815/525, 659/524 is
GCF of Numerators i.e. for 815,659 is 1
LCM of denominators i.e. for 525,524 is 275100.
Thus, GCF of Fractions is 1/275100.Finally, GCF of Fractions for 815/525, 659/524 is 1/275100.