Use our free GCF of Fractions Calculator tool to compute the GCF of 296/449, 259/839 i.e 37/376711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/449, 259/839.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/449,259/839
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 296/449,259/839, numerators are 296,259
Denominators are 449,839
The GCF of 296,259 is 37 .
LCM of 449,839 is 376711.
The greatest common factor of 296/449,259/839 = [GCF of 296,259]/[LCM of 449,839]= 37/376711
Therefore, the GCF of 296/449,259/839 is 37/376711.
To find the highest common factor of 296,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 259 are 1, 7, 37, 259
The HCF of 296,259 is 37.
Lets's calculate GCF of 296,259
37 | 296, 259 |
8, 7 |
∴ So the GCF of the given numbers is 37 = 37
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 296,259 . The biggest common factor number is the GCF number.
So the greatest common factor 296,259 is 37.
Lets's calculate LCM of 449,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 376711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/376711
Therefore, the GCF of Fractions 296/449,259/839 is 37/376711
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 449,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,839) x common factors =1 x 1 = 1
LCM(449,839) = ( 449 × 839 ) / 1
LCM(449,839) = 376711 / 1
LCM(449,839) = 376711
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 296,259?
The HCF of 296,259 is 37
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 296/449, 259/839?
Answer: GCF of Numerators as per given numbers 296/449, 259/839 is
GCF of Numerators i.e. for 296,259 is 37
LCM of denominators i.e. for 449,839 is 376711.
Thus, GCF of Fractions is 37/376711.Finally, GCF of Fractions for 296/449, 259/839 is 37/376711.