Use our free GCF of Fractions Calculator tool to compute the GCF of 813/522, 929/207 i.e 1/12006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/522, 929/207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/522,929/207
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 813/522,929/207, numerators are 813,929
Denominators are 522,207
The GCF of 813,929 is 1 .
LCM of 522,207 is 12006.
The greatest common factor of 813/522,929/207 = [GCF of 813,929]/[LCM of 522,207]= 1/12006
Therefore, the GCF of 813/522,929/207 is 1/12006.
To find the highest common factor of 813,929, 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 929 are 1, 929
The HCF of 813,929 is 1.
Lets's calculate GCF of 813,929
∴ 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 929
:1,929
Greatest Common Factor
We found the factors 813,929 . The biggest common factor number is the GCF number.
So the greatest common factor 813,929 is 1.
Lets's calculate LCM of 522,207
3 | 522, 207 |
3 | 174, 69 |
58, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 58 x 23 = 12006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12006
Therefore, the GCF of Fractions 813/522,929/207 is 1/12006
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 522,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,207) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(522,207) x common factors =9 x 1 = 9
LCM(522,207) = ( 522 × 207 ) / 9
LCM(522,207) = 108054 / 9
LCM(522,207) = 12006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 813,929?
The HCF of 813,929 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 813/522, 929/207?
Answer: GCF of Numerators as per given numbers 813/522, 929/207 is
GCF of Numerators i.e. for 813,929 is 1
LCM of denominators i.e. for 522,207 is 12006.
Thus, GCF of Fractions is 1/12006.Finally, GCF of Fractions for 813/522, 929/207 is 1/12006.