Use our free GCF of Fractions Calculator tool to compute the GCF of 812/386, 615/882 i.e 1/170226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/386, 615/882.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 812/386,615/882
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 812/386,615/882, numerators are 812,615
Denominators are 386,882
The GCF of 812,615 is 1 .
LCM of 386,882 is 170226.
The greatest common factor of 812/386,615/882 = [GCF of 812,615]/[LCM of 386,882]= 1/170226
Therefore, the GCF of 812/386,615/882 is 1/170226.
To find the highest common factor of 812,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 812,615 is 1.
Lets's calculate GCF of 812,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 812,615 . The biggest common factor number is the GCF number.
So the greatest common factor 812,615 is 1.
Lets's calculate LCM of 386,882
2 | 386, 882 |
193, 441 |
∴ So the LCM of the given numbers is 2 x 193 x 441 = 170226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170226
Therefore, the GCF of Fractions 812/386,615/882 is 1/170226
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 386,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,882) x common factors =2 x 1 = 2
LCM(386,882) = ( 386 × 882 ) / 2
LCM(386,882) = 340452 / 2
LCM(386,882) = 170226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 812,615?
The HCF of 812,615 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 812/386, 615/882?
Answer: GCF of Numerators as per given numbers 812/386, 615/882 is
GCF of Numerators i.e. for 812,615 is 1
LCM of denominators i.e. for 386,882 is 170226.
Thus, GCF of Fractions is 1/170226.Finally, GCF of Fractions for 812/386, 615/882 is 1/170226.