Use our free GCF of Fractions Calculator tool to compute the GCF of 7507/417, 5686/2938 i.e 1/1225146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7507/417, 5686/2938.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7507/417,5686/2938
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 7507/417,5686/2938, numerators are 7507,5686
Denominators are 417,2938
The GCF of 7507,5686 is 1 .
LCM of 417,2938 is 1225146.
The greatest common factor of 7507/417,5686/2938 = [GCF of 7507,5686]/[LCM of 417,2938]= 1/1225146
Therefore, the GCF of 7507/417,5686/2938 is 1/1225146.
To find the highest common factor of 7507,5686, we have to find the factors of both numbers and list the highest common factor.
The factors of 7507 are 1, 7507
The factors of 5686 are 1, 2, 2843, 5686
The HCF of 7507,5686 is 1.
Lets's calculate GCF of 7507,5686
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7507
:1,7507
Now, list down the factors of 5686
:1,2,2843,5686
Greatest Common Factor
We found the factors 7507,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 7507,5686 is 1.
Lets's calculate LCM of 417,2938
Given numbers has no common factors except 1. So, there LCM is their product i.e 1225146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225146
Therefore, the GCF of Fractions 7507/417,5686/2938 is 1/1225146
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 417,2938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,2938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,2938) x common factors =1 x 1 = 1
LCM(417,2938) = ( 417 × 2938 ) / 1
LCM(417,2938) = 1225146 / 1
LCM(417,2938) = 1225146
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7507,5686?
The HCF of 7507,5686 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 7507/417, 5686/2938?
Answer: GCF of Numerators as per given numbers 7507/417, 5686/2938 is
GCF of Numerators i.e. for 7507,5686 is 1
LCM of denominators i.e. for 417,2938 is 1225146.
Thus, GCF of Fractions is 1/1225146.Finally, GCF of Fractions for 7507/417, 5686/2938 is 1/1225146.