Use our free GCF of Fractions Calculator tool to compute the GCF of 2726/446, 5679/3268 i.e 1/728764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2726/446, 5679/3268.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2726/446,5679/3268
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 2726/446,5679/3268, numerators are 2726,5679
Denominators are 446,3268
The GCF of 2726,5679 is 1 .
LCM of 446,3268 is 728764.
The greatest common factor of 2726/446,5679/3268 = [GCF of 2726,5679]/[LCM of 446,3268]= 1/728764
Therefore, the GCF of 2726/446,5679/3268 is 1/728764.
To find the highest common factor of 2726,5679, we have to find the factors of both numbers and list the highest common factor.
The factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726
The factors of 5679 are 1, 3, 9, 631, 1893, 5679
The HCF of 2726,5679 is 1.
Lets's calculate GCF of 2726,5679
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2726
:1,2,29,47,58,94,1363,2726
Now, list down the factors of 5679
:1,3,9,631,1893,5679
Greatest Common Factor
We found the factors 2726,5679 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,5679 is 1.
Lets's calculate LCM of 446,3268
2 | 446, 3268 |
223, 1634 |
∴ So the LCM of the given numbers is 2 x 223 x 1634 = 728764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728764
Therefore, the GCF of Fractions 2726/446,5679/3268 is 1/728764
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 446,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,3268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,3268) x common factors =2 x 1 = 2
LCM(446,3268) = ( 446 × 3268 ) / 2
LCM(446,3268) = 1457528 / 2
LCM(446,3268) = 728764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2726,5679?
The HCF of 2726,5679 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 2726/446, 5679/3268?
Answer: GCF of Numerators as per given numbers 2726/446, 5679/3268 is
GCF of Numerators i.e. for 2726,5679 is 1
LCM of denominators i.e. for 446,3268 is 728764.
Thus, GCF of Fractions is 1/728764.Finally, GCF of Fractions for 2726/446, 5679/3268 is 1/728764.