Use our free GCF of Fractions Calculator tool to compute the GCF of 797/498, 289/206 i.e 1/51294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 797/498, 289/206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/498,289/206
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 797/498,289/206, numerators are 797,289
Denominators are 498,206
The GCF of 797,289 is 1 .
LCM of 498,206 is 51294.
The greatest common factor of 797/498,289/206 = [GCF of 797,289]/[LCM of 498,206]= 1/51294
Therefore, the GCF of 797/498,289/206 is 1/51294.
To find the highest common factor of 797,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 797 are 1, 797
The factors of 289 are 1, 17, 289
The HCF of 797,289 is 1.
Lets's calculate GCF of 797,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 797
:1,797
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 797,289 . The biggest common factor number is the GCF number.
So the greatest common factor 797,289 is 1.
Lets's calculate LCM of 498,206
2 | 498, 206 |
249, 103 |
∴ So the LCM of the given numbers is 2 x 249 x 103 = 51294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51294
Therefore, the GCF of Fractions 797/498,289/206 is 1/51294
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 498,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,206) x common factors =2 x 1 = 2
LCM(498,206) = ( 498 × 206 ) / 2
LCM(498,206) = 102588 / 2
LCM(498,206) = 51294
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 797,289?
The HCF of 797,289 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 797/498, 289/206?
Answer: GCF of Numerators as per given numbers 797/498, 289/206 is
GCF of Numerators i.e. for 797,289 is 1
LCM of denominators i.e. for 498,206 is 51294.
Thus, GCF of Fractions is 1/51294.Finally, GCF of Fractions for 797/498, 289/206 is 1/51294.