Use our free GCF of Fractions Calculator tool to compute the GCF of 9813/535, 4847/2891 i.e 1/1546685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9813/535, 4847/2891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9813/535,4847/2891
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 9813/535,4847/2891, numerators are 9813,4847
Denominators are 535,2891
The GCF of 9813,4847 is 1 .
LCM of 535,2891 is 1546685.
The greatest common factor of 9813/535,4847/2891 = [GCF of 9813,4847]/[LCM of 535,2891]= 1/1546685
Therefore, the GCF of 9813/535,4847/2891 is 1/1546685.
To find the highest common factor of 9813,4847, we have to find the factors of both numbers and list the highest common factor.
The factors of 9813 are 1, 3, 3271, 9813
The factors of 4847 are 1, 37, 131, 4847
The HCF of 9813,4847 is 1.
Lets's calculate GCF of 9813,4847
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9813
:1,3,3271,9813
Now, list down the factors of 4847
:1,37,131,4847
Greatest Common Factor
We found the factors 9813,4847 . The biggest common factor number is the GCF number.
So the greatest common factor 9813,4847 is 1.
Lets's calculate LCM of 535,2891
Given numbers has no common factors except 1. So, there LCM is their product i.e 1546685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1546685
Therefore, the GCF of Fractions 9813/535,4847/2891 is 1/1546685
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 535,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,2891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,2891) x common factors =1 x 1 = 1
LCM(535,2891) = ( 535 × 2891 ) / 1
LCM(535,2891) = 1546685 / 1
LCM(535,2891) = 1546685
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9813,4847?
The HCF of 9813,4847 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 9813/535, 4847/2891?
Answer: GCF of Numerators as per given numbers 9813/535, 4847/2891 is
GCF of Numerators i.e. for 9813,4847 is 1
LCM of denominators i.e. for 535,2891 is 1546685.
Thus, GCF of Fractions is 1/1546685.Finally, GCF of Fractions for 9813/535, 4847/2891 is 1/1546685.