Use our free GCF of Fractions Calculator tool to compute the GCF of 4605/164, 6518/2668 i.e 1/109388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4605/164, 6518/2668.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4605/164,6518/2668
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 4605/164,6518/2668, numerators are 4605,6518
Denominators are 164,2668
The GCF of 4605,6518 is 1 .
LCM of 164,2668 is 109388.
The greatest common factor of 4605/164,6518/2668 = [GCF of 4605,6518]/[LCM of 164,2668]= 1/109388
Therefore, the GCF of 4605/164,6518/2668 is 1/109388.
To find the highest common factor of 4605,6518, we have to find the factors of both numbers and list the highest common factor.
The factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605
The factors of 6518 are 1, 2, 3259, 6518
The HCF of 4605,6518 is 1.
Lets's calculate GCF of 4605,6518
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4605
:1,3,5,15,307,921,1535,4605
Now, list down the factors of 6518
:1,2,3259,6518
Greatest Common Factor
We found the factors 4605,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 4605,6518 is 1.
Lets's calculate LCM of 164,2668
2 | 164, 2668 |
2 | 82, 1334 |
41, 667 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 667 = 109388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109388
Therefore, the GCF of Fractions 4605/164,6518/2668 is 1/109388
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 164,2668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,2668) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,2668) x common factors =4 x 1 = 4
LCM(164,2668) = ( 164 × 2668 ) / 4
LCM(164,2668) = 437552 / 4
LCM(164,2668) = 109388
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4605,6518?
The HCF of 4605,6518 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 4605/164, 6518/2668?
Answer: GCF of Numerators as per given numbers 4605/164, 6518/2668 is
GCF of Numerators i.e. for 4605,6518 is 1
LCM of denominators i.e. for 164,2668 is 109388.
Thus, GCF of Fractions is 1/109388.Finally, GCF of Fractions for 4605/164, 6518/2668 is 1/109388.