Use our free GCF of Fractions Calculator tool to compute the GCF of 1923/799, 6733/981 i.e 1/783819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1923/799, 6733/981.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1923/799,6733/981
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 1923/799,6733/981, numerators are 1923,6733
Denominators are 799,981
The GCF of 1923,6733 is 1 .
LCM of 799,981 is 783819.
The greatest common factor of 1923/799,6733/981 = [GCF of 1923,6733]/[LCM of 799,981]= 1/783819
Therefore, the GCF of 1923/799,6733/981 is 1/783819.
To find the highest common factor of 1923,6733, we have to find the factors of both numbers and list the highest common factor.
The factors of 1923 are 1, 3, 641, 1923
The factors of 6733 are 1, 6733
The HCF of 1923,6733 is 1.
Lets's calculate GCF of 1923,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1923
:1,3,641,1923
Now, list down the factors of 6733
:1,6733
Greatest Common Factor
We found the factors 1923,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 1923,6733 is 1.
Lets's calculate LCM of 799,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 783819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783819
Therefore, the GCF of Fractions 1923/799,6733/981 is 1/783819
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 799,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,981) x common factors =1 x 1 = 1
LCM(799,981) = ( 799 × 981 ) / 1
LCM(799,981) = 783819 / 1
LCM(799,981) = 783819
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1923,6733?
The HCF of 1923,6733 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 1923/799, 6733/981?
Answer: GCF of Numerators as per given numbers 1923/799, 6733/981 is
GCF of Numerators i.e. for 1923,6733 is 1
LCM of denominators i.e. for 799,981 is 783819.
Thus, GCF of Fractions is 1/783819.Finally, GCF of Fractions for 1923/799, 6733/981 is 1/783819.