Use our free GCF of Fractions Calculator tool to compute the GCF of 2108/417, 7117/3206 i.e 1/1336902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2108/417, 7117/3206.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2108/417,7117/3206
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 2108/417,7117/3206, numerators are 2108,7117
Denominators are 417,3206
The GCF of 2108,7117 is 1 .
LCM of 417,3206 is 1336902.
The greatest common factor of 2108/417,7117/3206 = [GCF of 2108,7117]/[LCM of 417,3206]= 1/1336902
Therefore, the GCF of 2108/417,7117/3206 is 1/1336902.
To find the highest common factor of 2108,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The factors of 7117 are 1, 11, 647, 7117
The HCF of 2108,7117 is 1.
Lets's calculate GCF of 2108,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 2108,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 2108,7117 is 1.
Lets's calculate LCM of 417,3206
Given numbers has no common factors except 1. So, there LCM is their product i.e 1336902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336902
Therefore, the GCF of Fractions 2108/417,7117/3206 is 1/1336902
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 417,3206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,3206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,3206) x common factors =1 x 1 = 1
LCM(417,3206) = ( 417 × 3206 ) / 1
LCM(417,3206) = 1336902 / 1
LCM(417,3206) = 1336902
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2108,7117?
The HCF of 2108,7117 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 2108/417, 7117/3206?
Answer: GCF of Numerators as per given numbers 2108/417, 7117/3206 is
GCF of Numerators i.e. for 2108,7117 is 1
LCM of denominators i.e. for 417,3206 is 1336902.
Thus, GCF of Fractions is 1/1336902.Finally, GCF of Fractions for 2108/417, 7117/3206 is 1/1336902.