Use our free GCF of Fractions Calculator tool to compute the GCF of 9706/672, 3517/4149 i.e 1/929376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9706/672, 3517/4149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9706/672,3517/4149
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 9706/672,3517/4149, numerators are 9706,3517
Denominators are 672,4149
The GCF of 9706,3517 is 1 .
LCM of 672,4149 is 929376.
The greatest common factor of 9706/672,3517/4149 = [GCF of 9706,3517]/[LCM of 672,4149]= 1/929376
Therefore, the GCF of 9706/672,3517/4149 is 1/929376.
To find the highest common factor of 9706,3517, we have to find the factors of both numbers and list the highest common factor.
The factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706
The factors of 3517 are 1, 3517
The HCF of 9706,3517 is 1.
Lets's calculate GCF of 9706,3517
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9706
:1,2,23,46,211,422,4853,9706
Now, list down the factors of 3517
:1,3517
Greatest Common Factor
We found the factors 9706,3517 . The biggest common factor number is the GCF number.
So the greatest common factor 9706,3517 is 1.
Lets's calculate LCM of 672,4149
3 | 672, 4149 |
224, 1383 |
∴ So the LCM of the given numbers is 3 x 224 x 1383 = 929376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/929376
Therefore, the GCF of Fractions 9706/672,3517/4149 is 1/929376
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 672,4149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,4149) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(672,4149) x common factors =3 x 1 = 3
LCM(672,4149) = ( 672 × 4149 ) / 3
LCM(672,4149) = 2788128 / 3
LCM(672,4149) = 929376
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9706,3517?
The HCF of 9706,3517 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 9706/672, 3517/4149?
Answer: GCF of Numerators as per given numbers 9706/672, 3517/4149 is
GCF of Numerators i.e. for 9706,3517 is 1
LCM of denominators i.e. for 672,4149 is 929376.
Thus, GCF of Fractions is 1/929376.Finally, GCF of Fractions for 9706/672, 3517/4149 is 1/929376.