Use our free GCF of Fractions Calculator tool to compute the GCF of 9714/328, 4631/2844 i.e 1/233208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9714/328, 4631/2844.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9714/328,4631/2844
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 9714/328,4631/2844, numerators are 9714,4631
Denominators are 328,2844
The GCF of 9714,4631 is 1 .
LCM of 328,2844 is 233208.
The greatest common factor of 9714/328,4631/2844 = [GCF of 9714,4631]/[LCM of 328,2844]= 1/233208
Therefore, the GCF of 9714/328,4631/2844 is 1/233208.
To find the highest common factor of 9714,4631, we have to find the factors of both numbers and list the highest common factor.
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The factors of 4631 are 1, 11, 421, 4631
The HCF of 9714,4631 is 1.
Lets's calculate GCF of 9714,4631
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Now, list down the factors of 4631
:1,11,421,4631
Greatest Common Factor
We found the factors 9714,4631 . The biggest common factor number is the GCF number.
So the greatest common factor 9714,4631 is 1.
Lets's calculate LCM of 328,2844
2 | 328, 2844 |
2 | 164, 1422 |
82, 711 |
∴ So the LCM of the given numbers is 2 x 2 x 82 x 711 = 233208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233208
Therefore, the GCF of Fractions 9714/328,4631/2844 is 1/233208
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 328,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,2844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(328,2844) x common factors =4 x 1 = 4
LCM(328,2844) = ( 328 × 2844 ) / 4
LCM(328,2844) = 932832 / 4
LCM(328,2844) = 233208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9714,4631?
The HCF of 9714,4631 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 9714/328, 4631/2844?
Answer: GCF of Numerators as per given numbers 9714/328, 4631/2844 is
GCF of Numerators i.e. for 9714,4631 is 1
LCM of denominators i.e. for 328,2844 is 233208.
Thus, GCF of Fractions is 1/233208.Finally, GCF of Fractions for 9714/328, 4631/2844 is 1/233208.