Use our free GCF of Fractions Calculator tool to compute the GCF of 899/298, 571/149 i.e 1/298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/298, 571/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/298,571/149
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 899/298,571/149, numerators are 899,571
Denominators are 298,149
The GCF of 899,571 is 1 .
LCM of 298,149 is 298.
The greatest common factor of 899/298,571/149 = [GCF of 899,571]/[LCM of 298,149]= 1/298
Therefore, the GCF of 899/298,571/149 is 1/298.
To find the highest common factor of 899,571, we have to find the factors of both numbers and list the highest common factor.
The factors of 899 are 1, 29, 31, 899
The factors of 571 are 1, 571
The HCF of 899,571 is 1.
Lets's calculate GCF of 899,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 571
:1,571
Greatest Common Factor
We found the factors 899,571 . The biggest common factor number is the GCF number.
So the greatest common factor 899,571 is 1.
Lets's calculate LCM of 298,149
149 | 298, 149 |
2, 1 |
∴ So the LCM of the given numbers is 149 x 2 x 1 = 298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298
Therefore, the GCF of Fractions 899/298,571/149 is 1/298
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 298,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,149) = 149
common factors(in case of two or more numbers have common factors) = 1
GCF(298,149) x common factors =149 x 1 = 149
LCM(298,149) = ( 298 × 149 ) / 149
LCM(298,149) = 44402 / 149
LCM(298,149) = 298
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 899,571?
The HCF of 899,571 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 899/298, 571/149?
Answer: GCF of Numerators as per given numbers 899/298, 571/149 is
GCF of Numerators i.e. for 899,571 is 1
LCM of denominators i.e. for 298,149 is 298.
Thus, GCF of Fractions is 1/298.Finally, GCF of Fractions for 899/298, 571/149 is 1/298.