Use our free GCF of Fractions Calculator tool to compute the GCF of 7415/296, 7751/4917 i.e 1/1455432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7415/296, 7751/4917.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7415/296,7751/4917
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 7415/296,7751/4917, numerators are 7415,7751
Denominators are 296,4917
The GCF of 7415,7751 is 1 .
LCM of 296,4917 is 1455432.
The greatest common factor of 7415/296,7751/4917 = [GCF of 7415,7751]/[LCM of 296,4917]= 1/1455432
Therefore, the GCF of 7415/296,7751/4917 is 1/1455432.
To find the highest common factor of 7415,7751, we have to find the factors of both numbers and list the highest common factor.
The factors of 7415 are 1, 5, 1483, 7415
The factors of 7751 are 1, 23, 337, 7751
The HCF of 7415,7751 is 1.
Lets's calculate GCF of 7415,7751
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7415
:1,5,1483,7415
Now, list down the factors of 7751
:1,23,337,7751
Greatest Common Factor
We found the factors 7415,7751 . The biggest common factor number is the GCF number.
So the greatest common factor 7415,7751 is 1.
Lets's calculate LCM of 296,4917
Given numbers has no common factors except 1. So, there LCM is their product i.e 1455432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1455432
Therefore, the GCF of Fractions 7415/296,7751/4917 is 1/1455432
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 296,4917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,4917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,4917) x common factors =1 x 1 = 1
LCM(296,4917) = ( 296 × 4917 ) / 1
LCM(296,4917) = 1455432 / 1
LCM(296,4917) = 1455432
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7415,7751?
The HCF of 7415,7751 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 7415/296, 7751/4917?
Answer: GCF of Numerators as per given numbers 7415/296, 7751/4917 is
GCF of Numerators i.e. for 7415,7751 is 1
LCM of denominators i.e. for 296,4917 is 1455432.
Thus, GCF of Fractions is 1/1455432.Finally, GCF of Fractions for 7415/296, 7751/4917 is 1/1455432.