Use our free GCF of Fractions Calculator tool to compute the GCF of 449/10, 808/803 i.e 1/8030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/10, 808/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 449/10,808/803
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 449/10,808/803, numerators are 449,808
Denominators are 10,803
The GCF of 449,808 is 1 .
LCM of 10,803 is 8030.
The greatest common factor of 449/10,808/803 = [GCF of 449,808]/[LCM of 10,803]= 1/8030
Therefore, the GCF of 449/10,808/803 is 1/8030.
To find the highest common factor of 449,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 449,808 is 1.
Lets's calculate GCF of 449,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 449
:1,449
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 449,808 . The biggest common factor number is the GCF number.
So the greatest common factor 449,808 is 1.
Lets's calculate LCM of 10,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 8030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8030
Therefore, the GCF of Fractions 449/10,808/803 is 1/8030
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 10,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,803) x common factors =1 x 1 = 1
LCM(10,803) = ( 10 × 803 ) / 1
LCM(10,803) = 8030 / 1
LCM(10,803) = 8030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 449,808?
The HCF of 449,808 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 449/10, 808/803?
Answer: GCF of Numerators as per given numbers 449/10, 808/803 is
GCF of Numerators i.e. for 449,808 is 1
LCM of denominators i.e. for 10,803 is 8030.
Thus, GCF of Fractions is 1/8030.Finally, GCF of Fractions for 449/10, 808/803 is 1/8030.