Use our free GCF of Fractions Calculator tool to compute the GCF of 7947/247, 9743/2011 i.e 1/496717 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7947/247, 9743/2011.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7947/247,9743/2011
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 7947/247,9743/2011, numerators are 7947,9743
Denominators are 247,2011
The GCF of 7947,9743 is 1 .
LCM of 247,2011 is 496717.
The greatest common factor of 7947/247,9743/2011 = [GCF of 7947,9743]/[LCM of 247,2011]= 1/496717
Therefore, the GCF of 7947/247,9743/2011 is 1/496717.
To find the highest common factor of 7947,9743, we have to find the factors of both numbers and list the highest common factor.
The factors of 7947 are 1, 3, 9, 883, 2649, 7947
The factors of 9743 are 1, 9743
The HCF of 7947,9743 is 1.
Lets's calculate GCF of 7947,9743
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7947
:1,3,9,883,2649,7947
Now, list down the factors of 9743
:1,9743
Greatest Common Factor
We found the factors 7947,9743 . The biggest common factor number is the GCF number.
So the greatest common factor 7947,9743 is 1.
Lets's calculate LCM of 247,2011
Given numbers has no common factors except 1. So, there LCM is their product i.e 496717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496717
Therefore, the GCF of Fractions 7947/247,9743/2011 is 1/496717
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 247,2011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,2011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,2011) x common factors =1 x 1 = 1
LCM(247,2011) = ( 247 × 2011 ) / 1
LCM(247,2011) = 496717 / 1
LCM(247,2011) = 496717
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7947,9743?
The HCF of 7947,9743 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 7947/247, 9743/2011?
Answer: GCF of Numerators as per given numbers 7947/247, 9743/2011 is
GCF of Numerators i.e. for 7947,9743 is 1
LCM of denominators i.e. for 247,2011 is 496717.
Thus, GCF of Fractions is 1/496717.Finally, GCF of Fractions for 7947/247, 9743/2011 is 1/496717.