Use our free GCF of Fractions Calculator tool to compute the GCF of 197/798, 548/289 i.e 1/230622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/798, 548/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/798,548/289
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 197/798,548/289, numerators are 197,548
Denominators are 798,289
The GCF of 197,548 is 1 .
LCM of 798,289 is 230622.
The greatest common factor of 197/798,548/289 = [GCF of 197,548]/[LCM of 798,289]= 1/230622
Therefore, the GCF of 197/798,548/289 is 1/230622.
To find the highest common factor of 197,548, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 548 are 1, 2, 4, 137, 274, 548
The HCF of 197,548 is 1.
Lets's calculate GCF of 197,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 197
:1,197
Now, list down the factors of 548
:1,2,4,137,274,548
Greatest Common Factor
We found the factors 197,548 . The biggest common factor number is the GCF number.
So the greatest common factor 197,548 is 1.
Lets's calculate LCM of 798,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 230622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230622
Therefore, the GCF of Fractions 197/798,548/289 is 1/230622
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 798,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,289) x common factors =1 x 1 = 1
LCM(798,289) = ( 798 × 289 ) / 1
LCM(798,289) = 230622 / 1
LCM(798,289) = 230622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 197,548?
The HCF of 197,548 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 197/798, 548/289?
Answer: GCF of Numerators as per given numbers 197/798, 548/289 is
GCF of Numerators i.e. for 197,548 is 1
LCM of denominators i.e. for 798,289 is 230622.
Thus, GCF of Fractions is 1/230622.Finally, GCF of Fractions for 197/798, 548/289 is 1/230622.