Use our free GCF of Fractions Calculator tool to compute the GCF of 813/275, 106/363 i.e 1/9075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/275, 106/363.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/275,106/363
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 813/275,106/363, numerators are 813,106
Denominators are 275,363
The GCF of 813,106 is 1 .
LCM of 275,363 is 9075.
The greatest common factor of 813/275,106/363 = [GCF of 813,106]/[LCM of 275,363]= 1/9075
Therefore, the GCF of 813/275,106/363 is 1/9075.
To find the highest common factor of 813,106, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 106 are 1, 2, 53, 106
The HCF of 813,106 is 1.
Lets's calculate GCF of 813,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 106
:1,2,53,106
Greatest Common Factor
We found the factors 813,106 . The biggest common factor number is the GCF number.
So the greatest common factor 813,106 is 1.
Lets's calculate LCM of 275,363
11 | 275, 363 |
25, 33 |
∴ So the LCM of the given numbers is 11 x 25 x 33 = 9075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9075
Therefore, the GCF of Fractions 813/275,106/363 is 1/9075
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 275,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,363) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,363) x common factors =11 x 1 = 11
LCM(275,363) = ( 275 × 363 ) / 11
LCM(275,363) = 99825 / 11
LCM(275,363) = 9075
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 813,106?
The HCF of 813,106 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 813/275, 106/363?
Answer: GCF of Numerators as per given numbers 813/275, 106/363 is
GCF of Numerators i.e. for 813,106 is 1
LCM of denominators i.e. for 275,363 is 9075.
Thus, GCF of Fractions is 1/9075.Finally, GCF of Fractions for 813/275, 106/363 is 1/9075.