Use our free GCF of Fractions Calculator tool to compute the GCF of 799/230, 850/152 i.e 17/17480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/230, 850/152.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/230,850/152
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 799/230,850/152, numerators are 799,850
Denominators are 230,152
The GCF of 799,850 is 17 .
LCM of 230,152 is 17480.
The greatest common factor of 799/230,850/152 = [GCF of 799,850]/[LCM of 230,152]= 17/17480
Therefore, the GCF of 799/230,850/152 is 17/17480.
To find the highest common factor of 799,850, we have to find the factors of both numbers and list the highest common factor.
The factors of 799 are 1, 17, 47, 799
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The HCF of 799,850 is 17.
Lets's calculate GCF of 799,850
17 | 799, 850 |
47, 50 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 799
:1,17,47,799
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 799,850 . The biggest common factor number is the GCF number.
So the greatest common factor 799,850 is 17.
Lets's calculate LCM of 230,152
2 | 230, 152 |
115, 76 |
∴ So the LCM of the given numbers is 2 x 115 x 76 = 17480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/17480
Therefore, the GCF of Fractions 799/230,850/152 is 17/17480
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 230,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,152) x common factors =2 x 1 = 2
LCM(230,152) = ( 230 × 152 ) / 2
LCM(230,152) = 34960 / 2
LCM(230,152) = 17480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 799,850?
The HCF of 799,850 is 17
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 799/230, 850/152?
Answer: GCF of Numerators as per given numbers 799/230, 850/152 is
GCF of Numerators i.e. for 799,850 is 17
LCM of denominators i.e. for 230,152 is 17480.
Thus, GCF of Fractions is 17/17480.Finally, GCF of Fractions for 799/230, 850/152 is 17/17480.