Use our free GCF of Fractions Calculator tool to compute the GCF of 1415/666, 9686/4037 i.e 1/2688642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1415/666, 9686/4037.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1415/666,9686/4037
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 1415/666,9686/4037, numerators are 1415,9686
Denominators are 666,4037
The GCF of 1415,9686 is 1 .
LCM of 666,4037 is 2688642.
The greatest common factor of 1415/666,9686/4037 = [GCF of 1415,9686]/[LCM of 666,4037]= 1/2688642
Therefore, the GCF of 1415/666,9686/4037 is 1/2688642.
To find the highest common factor of 1415,9686, we have to find the factors of both numbers and list the highest common factor.
The factors of 1415 are 1, 5, 283, 1415
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The HCF of 1415,9686 is 1.
Lets's calculate GCF of 1415,9686
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1415
:1,5,283,1415
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Greatest Common Factor
We found the factors 1415,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 1415,9686 is 1.
Lets's calculate LCM of 666,4037
Given numbers has no common factors except 1. So, there LCM is their product i.e 2688642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2688642
Therefore, the GCF of Fractions 1415/666,9686/4037 is 1/2688642
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 666,4037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,4037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,4037) x common factors =1 x 1 = 1
LCM(666,4037) = ( 666 × 4037 ) / 1
LCM(666,4037) = 2688642 / 1
LCM(666,4037) = 2688642
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1415,9686?
The HCF of 1415,9686 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 1415/666, 9686/4037?
Answer: GCF of Numerators as per given numbers 1415/666, 9686/4037 is
GCF of Numerators i.e. for 1415,9686 is 1
LCM of denominators i.e. for 666,4037 is 2688642.
Thus, GCF of Fractions is 1/2688642.Finally, GCF of Fractions for 1415/666, 9686/4037 is 1/2688642.