Use our free GCF of Fractions Calculator tool to compute the GCF of 3811/816, 8851/5695 i.e 1/273360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3811/816, 8851/5695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3811/816,8851/5695
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 3811/816,8851/5695, numerators are 3811,8851
Denominators are 816,5695
The GCF of 3811,8851 is 1 .
LCM of 816,5695 is 273360.
The greatest common factor of 3811/816,8851/5695 = [GCF of 3811,8851]/[LCM of 816,5695]= 1/273360
Therefore, the GCF of 3811/816,8851/5695 is 1/273360.
To find the highest common factor of 3811,8851, we have to find the factors of both numbers and list the highest common factor.
The factors of 3811 are 1, 37, 103, 3811
The factors of 8851 are 1, 53, 167, 8851
The HCF of 3811,8851 is 1.
Lets's calculate GCF of 3811,8851
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3811
:1,37,103,3811
Now, list down the factors of 8851
:1,53,167,8851
Greatest Common Factor
We found the factors 3811,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 3811,8851 is 1.
Lets's calculate LCM of 816,5695
17 | 816, 5695 |
48, 335 |
∴ So the LCM of the given numbers is 17 x 48 x 335 = 273360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273360
Therefore, the GCF of Fractions 3811/816,8851/5695 is 1/273360
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 816,5695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,5695) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(816,5695) x common factors =17 x 1 = 17
LCM(816,5695) = ( 816 × 5695 ) / 17
LCM(816,5695) = 4647120 / 17
LCM(816,5695) = 273360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3811,8851?
The HCF of 3811,8851 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 3811/816, 8851/5695?
Answer: GCF of Numerators as per given numbers 3811/816, 8851/5695 is
GCF of Numerators i.e. for 3811,8851 is 1
LCM of denominators i.e. for 816,5695 is 273360.
Thus, GCF of Fractions is 1/273360.Finally, GCF of Fractions for 3811/816, 8851/5695 is 1/273360.