Use our free GCF of Fractions Calculator tool to compute the GCF of 7619/101, 5798/133 i.e 1/13433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7619/101, 5798/133.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7619/101,5798/133
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 7619/101,5798/133, numerators are 7619,5798
Denominators are 101,133
The GCF of 7619,5798 is 1 .
LCM of 101,133 is 13433.
The greatest common factor of 7619/101,5798/133 = [GCF of 7619,5798]/[LCM of 101,133]= 1/13433
Therefore, the GCF of 7619/101,5798/133 is 1/13433.
To find the highest common factor of 7619,5798, we have to find the factors of both numbers and list the highest common factor.
The factors of 7619 are 1, 19, 401, 7619
The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798
The HCF of 7619,5798 is 1.
Lets's calculate GCF of 7619,5798
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7619
:1,19,401,7619
Now, list down the factors of 5798
:1,2,13,26,223,446,2899,5798
Greatest Common Factor
We found the factors 7619,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 7619,5798 is 1.
Lets's calculate LCM of 101,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 13433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13433
Therefore, the GCF of Fractions 7619/101,5798/133 is 1/13433
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 101,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,133) x common factors =1 x 1 = 1
LCM(101,133) = ( 101 × 133 ) / 1
LCM(101,133) = 13433 / 1
LCM(101,133) = 13433
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7619,5798?
The HCF of 7619,5798 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 7619/101, 5798/133?
Answer: GCF of Numerators as per given numbers 7619/101, 5798/133 is
GCF of Numerators i.e. for 7619,5798 is 1
LCM of denominators i.e. for 101,133 is 13433.
Thus, GCF of Fractions is 1/13433.Finally, GCF of Fractions for 7619/101, 5798/133 is 1/13433.