Use our free GCF of Fractions Calculator tool to compute the GCF of 797/61, 838/818 i.e 1/49898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 797/61, 838/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/61,838/818
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 797/61,838/818, numerators are 797,838
Denominators are 61,818
The GCF of 797,838 is 1 .
LCM of 61,818 is 49898.
The greatest common factor of 797/61,838/818 = [GCF of 797,838]/[LCM of 61,818]= 1/49898
Therefore, the GCF of 797/61,838/818 is 1/49898.
To find the highest common factor of 797,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 797 are 1, 797
The factors of 838 are 1, 2, 419, 838
The HCF of 797,838 is 1.
Lets's calculate GCF of 797,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 797
:1,797
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 797,838 . The biggest common factor number is the GCF number.
So the greatest common factor 797,838 is 1.
Lets's calculate LCM of 61,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 49898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49898
Therefore, the GCF of Fractions 797/61,838/818 is 1/49898
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 61,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,818) x common factors =1 x 1 = 1
LCM(61,818) = ( 61 × 818 ) / 1
LCM(61,818) = 49898 / 1
LCM(61,818) = 49898
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 797,838?
The HCF of 797,838 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 797/61, 838/818?
Answer: GCF of Numerators as per given numbers 797/61, 838/818 is
GCF of Numerators i.e. for 797,838 is 1
LCM of denominators i.e. for 61,818 is 49898.
Thus, GCF of Fractions is 1/49898.Finally, GCF of Fractions for 797/61, 838/818 is 1/49898.