Use our free GCF of Fractions Calculator tool to compute the GCF of 8826/921, 6738/6991 i.e 6/6438711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8826/921, 6738/6991.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8826/921,6738/6991
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 8826/921,6738/6991, numerators are 8826,6738
Denominators are 921,6991
The GCF of 8826,6738 is 6 .
LCM of 921,6991 is 6438711.
The greatest common factor of 8826/921,6738/6991 = [GCF of 8826,6738]/[LCM of 921,6991]= 6/6438711
Therefore, the GCF of 8826/921,6738/6991 is 6/6438711.
To find the highest common factor of 8826,6738, we have to find the factors of both numbers and list the highest common factor.
The factors of 8826 are 1, 2, 3, 6, 1471, 2942, 4413, 8826
The factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738
The HCF of 8826,6738 is 6.
Lets's calculate GCF of 8826,6738
2 | 8826, 6738 |
3 | 4413, 3369 |
1471, 1123 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 8826
:1,2,3,6,1471,2942,4413,8826
Now, list down the factors of 6738
:1,2,3,6,1123,2246,3369,6738
Greatest Common Factor
We found the factors 8826,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 8826,6738 is 6.
Lets's calculate LCM of 921,6991
Given numbers has no common factors except 1. So, there LCM is their product i.e 6438711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6438711
Therefore, the GCF of Fractions 8826/921,6738/6991 is 6/6438711
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 921,6991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,6991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,6991) x common factors =1 x 1 = 1
LCM(921,6991) = ( 921 × 6991 ) / 1
LCM(921,6991) = 6438711 / 1
LCM(921,6991) = 6438711
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8826,6738?
The HCF of 8826,6738 is 6
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 8826/921, 6738/6991?
Answer: GCF of Numerators as per given numbers 8826/921, 6738/6991 is
GCF of Numerators i.e. for 8826,6738 is 6
LCM of denominators i.e. for 921,6991 is 6438711.
Thus, GCF of Fractions is 6/6438711.Finally, GCF of Fractions for 8826/921, 6738/6991 is 6/6438711.