Use our free GCF of Fractions Calculator tool to compute the GCF of 721/806, 102/816 i.e 1/328848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/806, 102/816.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 721/806,102/816
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 721/806,102/816, numerators are 721,102
Denominators are 806,816
The GCF of 721,102 is 1 .
LCM of 806,816 is 328848.
The greatest common factor of 721/806,102/816 = [GCF of 721,102]/[LCM of 806,816]= 1/328848
Therefore, the GCF of 721/806,102/816 is 1/328848.
To find the highest common factor of 721,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 721 are 1, 7, 103, 721
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 721,102 is 1.
Lets's calculate GCF of 721,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 721
:1,7,103,721
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 721,102 . The biggest common factor number is the GCF number.
So the greatest common factor 721,102 is 1.
Lets's calculate LCM of 806,816
2 | 806, 816 |
403, 408 |
∴ So the LCM of the given numbers is 2 x 403 x 408 = 328848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328848
Therefore, the GCF of Fractions 721/806,102/816 is 1/328848
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 806,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,816) x common factors =2 x 1 = 2
LCM(806,816) = ( 806 × 816 ) / 2
LCM(806,816) = 657696 / 2
LCM(806,816) = 328848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 721,102?
The HCF of 721,102 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 721/806, 102/816?
Answer: GCF of Numerators as per given numbers 721/806, 102/816 is
GCF of Numerators i.e. for 721,102 is 1
LCM of denominators i.e. for 806,816 is 328848.
Thus, GCF of Fractions is 1/328848.Finally, GCF of Fractions for 721/806, 102/816 is 1/328848.