Use our free GCF of Fractions Calculator tool to compute the GCF of 4385/299, 6571/6811 i.e 1/2036489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4385/299, 6571/6811.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4385/299,6571/6811
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 4385/299,6571/6811, numerators are 4385,6571
Denominators are 299,6811
The GCF of 4385,6571 is 1 .
LCM of 299,6811 is 2036489.
The greatest common factor of 4385/299,6571/6811 = [GCF of 4385,6571]/[LCM of 299,6811]= 1/2036489
Therefore, the GCF of 4385/299,6571/6811 is 1/2036489.
To find the highest common factor of 4385,6571, we have to find the factors of both numbers and list the highest common factor.
The factors of 4385 are 1, 5, 877, 4385
The factors of 6571 are 1, 6571
The HCF of 4385,6571 is 1.
Lets's calculate GCF of 4385,6571
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4385
:1,5,877,4385
Now, list down the factors of 6571
:1,6571
Greatest Common Factor
We found the factors 4385,6571 . The biggest common factor number is the GCF number.
So the greatest common factor 4385,6571 is 1.
Lets's calculate LCM of 299,6811
Given numbers has no common factors except 1. So, there LCM is their product i.e 2036489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2036489
Therefore, the GCF of Fractions 4385/299,6571/6811 is 1/2036489
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 299,6811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,6811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,6811) x common factors =1 x 1 = 1
LCM(299,6811) = ( 299 × 6811 ) / 1
LCM(299,6811) = 2036489 / 1
LCM(299,6811) = 2036489
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4385,6571?
The HCF of 4385,6571 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 4385/299, 6571/6811?
Answer: GCF of Numerators as per given numbers 4385/299, 6571/6811 is
GCF of Numerators i.e. for 4385,6571 is 1
LCM of denominators i.e. for 299,6811 is 2036489.
Thus, GCF of Fractions is 1/2036489.Finally, GCF of Fractions for 4385/299, 6571/6811 is 1/2036489.