Use our free GCF of Fractions Calculator tool to compute the GCF of 806/838, 924/109 i.e 2/91342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/838, 924/109.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 806/838,924/109
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 806/838,924/109, numerators are 806,924
Denominators are 838,109
The GCF of 806,924 is 2 .
LCM of 838,109 is 91342.
The greatest common factor of 806/838,924/109 = [GCF of 806,924]/[LCM of 838,109]= 2/91342
Therefore, the GCF of 806/838,924/109 is 2/91342.
To find the highest common factor of 806,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 806,924 is 2.
Lets's calculate GCF of 806,924
2 | 806, 924 |
403, 462 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 806,924 . The biggest common factor number is the GCF number.
So the greatest common factor 806,924 is 2.
Lets's calculate LCM of 838,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 91342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/91342
Therefore, the GCF of Fractions 806/838,924/109 is 2/91342
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 838,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(838,109) x common factors =1 x 1 = 1
LCM(838,109) = ( 838 × 109 ) / 1
LCM(838,109) = 91342 / 1
LCM(838,109) = 91342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 806,924?
The HCF of 806,924 is 2
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 806/838, 924/109?
Answer: GCF of Numerators as per given numbers 806/838, 924/109 is
GCF of Numerators i.e. for 806,924 is 2
LCM of denominators i.e. for 838,109 is 91342.
Thus, GCF of Fractions is 2/91342.Finally, GCF of Fractions for 806/838, 924/109 is 2/91342.