Use our free GCF of Fractions Calculator tool to compute the GCF of 239/813, 778/819 i.e 1/221949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/813, 778/819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/813,778/819
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 239/813,778/819, numerators are 239,778
Denominators are 813,819
The GCF of 239,778 is 1 .
LCM of 813,819 is 221949.
The greatest common factor of 239/813,778/819 = [GCF of 239,778]/[LCM of 813,819]= 1/221949
Therefore, the GCF of 239/813,778/819 is 1/221949.
To find the highest common factor of 239,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 778 are 1, 2, 389, 778
The HCF of 239,778 is 1.
Lets's calculate GCF of 239,778
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 239
:1,239
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 239,778 . The biggest common factor number is the GCF number.
So the greatest common factor 239,778 is 1.
Lets's calculate LCM of 813,819
3 | 813, 819 |
271, 273 |
∴ So the LCM of the given numbers is 3 x 271 x 273 = 221949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221949
Therefore, the GCF of Fractions 239/813,778/819 is 1/221949
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 813,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(813,819) x common factors =3 x 1 = 3
LCM(813,819) = ( 813 × 819 ) / 3
LCM(813,819) = 665847 / 3
LCM(813,819) = 221949
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 239,778?
The HCF of 239,778 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 239/813, 778/819?
Answer: GCF of Numerators as per given numbers 239/813, 778/819 is
GCF of Numerators i.e. for 239,778 is 1
LCM of denominators i.e. for 813,819 is 221949.
Thus, GCF of Fractions is 1/221949.Finally, GCF of Fractions for 239/813, 778/819 is 1/221949.