Use our free GCF of Fractions Calculator tool to compute the GCF of 9845/263, 6347/9426 i.e 11/2479038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9845/263, 6347/9426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9845/263,6347/9426
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 9845/263,6347/9426, numerators are 9845,6347
Denominators are 263,9426
The GCF of 9845,6347 is 11 .
LCM of 263,9426 is 2479038.
The greatest common factor of 9845/263,6347/9426 = [GCF of 9845,6347]/[LCM of 263,9426]= 11/2479038
Therefore, the GCF of 9845/263,6347/9426 is 11/2479038.
To find the highest common factor of 9845,6347, we have to find the factors of both numbers and list the highest common factor.
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The factors of 6347 are 1, 11, 577, 6347
The HCF of 9845,6347 is 11.
Lets's calculate GCF of 9845,6347
11 | 9845, 6347 |
895, 577 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Now, list down the factors of 6347
:1,11,577,6347
Greatest Common Factor
We found the factors 9845,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 9845,6347 is 11.
Lets's calculate LCM of 263,9426
Given numbers has no common factors except 1. So, there LCM is their product i.e 2479038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2479038
Therefore, the GCF of Fractions 9845/263,6347/9426 is 11/2479038
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 263,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,9426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,9426) x common factors =1 x 1 = 1
LCM(263,9426) = ( 263 × 9426 ) / 1
LCM(263,9426) = 2479038 / 1
LCM(263,9426) = 2479038
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9845,6347?
The HCF of 9845,6347 is 11
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 9845/263, 6347/9426?
Answer: GCF of Numerators as per given numbers 9845/263, 6347/9426 is
GCF of Numerators i.e. for 9845,6347 is 11
LCM of denominators i.e. for 263,9426 is 2479038.
Thus, GCF of Fractions is 11/2479038.Finally, GCF of Fractions for 9845/263, 6347/9426 is 11/2479038.