Use our free GCF of Fractions Calculator tool to compute the GCF of 2159/199, 3939/4622 i.e 1/919778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2159/199, 3939/4622.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2159/199,3939/4622
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 2159/199,3939/4622, numerators are 2159,3939
Denominators are 199,4622
The GCF of 2159,3939 is 1 .
LCM of 199,4622 is 919778.
The greatest common factor of 2159/199,3939/4622 = [GCF of 2159,3939]/[LCM of 199,4622]= 1/919778
Therefore, the GCF of 2159/199,3939/4622 is 1/919778.
To find the highest common factor of 2159,3939, we have to find the factors of both numbers and list the highest common factor.
The factors of 2159 are 1, 17, 127, 2159
The factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939
The HCF of 2159,3939 is 1.
Lets's calculate GCF of 2159,3939
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2159
:1,17,127,2159
Now, list down the factors of 3939
:1,3,13,39,101,303,1313,3939
Greatest Common Factor
We found the factors 2159,3939 . The biggest common factor number is the GCF number.
So the greatest common factor 2159,3939 is 1.
Lets's calculate LCM of 199,4622
Given numbers has no common factors except 1. So, there LCM is their product i.e 919778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/919778
Therefore, the GCF of Fractions 2159/199,3939/4622 is 1/919778
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 199,4622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,4622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,4622) x common factors =1 x 1 = 1
LCM(199,4622) = ( 199 × 4622 ) / 1
LCM(199,4622) = 919778 / 1
LCM(199,4622) = 919778
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2159,3939?
The HCF of 2159,3939 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 2159/199, 3939/4622?
Answer: GCF of Numerators as per given numbers 2159/199, 3939/4622 is
GCF of Numerators i.e. for 2159,3939 is 1
LCM of denominators i.e. for 199,4622 is 919778.
Thus, GCF of Fractions is 1/919778.Finally, GCF of Fractions for 2159/199, 3939/4622 is 1/919778.