Use our free GCF of Fractions Calculator tool to compute the GCF of 254/705, 5113/353 i.e 1/248865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/705, 5113/353.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/705,5113/353
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 254/705,5113/353, numerators are 254,5113
Denominators are 705,353
The GCF of 254,5113 is 1 .
LCM of 705,353 is 248865.
The greatest common factor of 254/705,5113/353 = [GCF of 254,5113]/[LCM of 705,353]= 1/248865
Therefore, the GCF of 254/705,5113/353 is 1/248865.
To find the highest common factor of 254,5113, we have to find the factors of both numbers and list the highest common factor.
The factors of 254 are 1, 2, 127, 254
The factors of 5113 are 1, 5113
The HCF of 254,5113 is 1.
Lets's calculate GCF of 254,5113
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 254
:1,2,127,254
Now, list down the factors of 5113
:1,5113
Greatest Common Factor
We found the factors 254,5113 . The biggest common factor number is the GCF number.
So the greatest common factor 254,5113 is 1.
Lets's calculate LCM of 705,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 248865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248865
Therefore, the GCF of Fractions 254/705,5113/353 is 1/248865
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 705,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,353) x common factors =1 x 1 = 1
LCM(705,353) = ( 705 × 353 ) / 1
LCM(705,353) = 248865 / 1
LCM(705,353) = 248865
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 254,5113?
The HCF of 254,5113 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 254/705, 5113/353?
Answer: GCF of Numerators as per given numbers 254/705, 5113/353 is
GCF of Numerators i.e. for 254,5113 is 1
LCM of denominators i.e. for 705,353 is 248865.
Thus, GCF of Fractions is 1/248865.Finally, GCF of Fractions for 254/705, 5113/353 is 1/248865.