Use our free GCF of Fractions Calculator tool to compute the GCF of 652/115, 298/286 i.e 2/32890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 652/115, 298/286.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/115,298/286
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 652/115,298/286, numerators are 652,298
Denominators are 115,286
The GCF of 652,298 is 2 .
LCM of 115,286 is 32890.
The greatest common factor of 652/115,298/286 = [GCF of 652,298]/[LCM of 115,286]= 2/32890
Therefore, the GCF of 652/115,298/286 is 2/32890.
To find the highest common factor of 652,298, we have to find the factors of both numbers and list the highest common factor.
The factors of 652 are 1, 2, 4, 163, 326, 652
The factors of 298 are 1, 2, 149, 298
The HCF of 652,298 is 2.
Lets's calculate GCF of 652,298
2 | 652, 298 |
326, 149 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 652
:1,2,4,163,326,652
Now, list down the factors of 298
:1,2,149,298
Greatest Common Factor
We found the factors 652,298 . The biggest common factor number is the GCF number.
So the greatest common factor 652,298 is 2.
Lets's calculate LCM of 115,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 32890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32890
Therefore, the GCF of Fractions 652/115,298/286 is 2/32890
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 115,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,286) x common factors =1 x 1 = 1
LCM(115,286) = ( 115 × 286 ) / 1
LCM(115,286) = 32890 / 1
LCM(115,286) = 32890
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 652,298?
The HCF of 652,298 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 652/115, 298/286?
Answer: GCF of Numerators as per given numbers 652/115, 298/286 is
GCF of Numerators i.e. for 652,298 is 2
LCM of denominators i.e. for 115,286 is 32890.
Thus, GCF of Fractions is 2/32890.Finally, GCF of Fractions for 652/115, 298/286 is 2/32890.