Use our free GCF of Fractions Calculator tool to compute the GCF of 2605/226, 4626/5168 i.e 1/583984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2605/226, 4626/5168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2605/226,4626/5168
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 2605/226,4626/5168, numerators are 2605,4626
Denominators are 226,5168
The GCF of 2605,4626 is 1 .
LCM of 226,5168 is 583984.
The greatest common factor of 2605/226,4626/5168 = [GCF of 2605,4626]/[LCM of 226,5168]= 1/583984
Therefore, the GCF of 2605/226,4626/5168 is 1/583984.
To find the highest common factor of 2605,4626, we have to find the factors of both numbers and list the highest common factor.
The factors of 2605 are 1, 5, 521, 2605
The factors of 4626 are 1, 2, 3, 6, 9, 18, 257, 514, 771, 1542, 2313, 4626
The HCF of 2605,4626 is 1.
Lets's calculate GCF of 2605,4626
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2605
:1,5,521,2605
Now, list down the factors of 4626
:1,2,3,6,9,18,257,514,771,1542,2313,4626
Greatest Common Factor
We found the factors 2605,4626 . The biggest common factor number is the GCF number.
So the greatest common factor 2605,4626 is 1.
Lets's calculate LCM of 226,5168
2 | 226, 5168 |
113, 2584 |
∴ So the LCM of the given numbers is 2 x 113 x 2584 = 583984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583984
Therefore, the GCF of Fractions 2605/226,4626/5168 is 1/583984
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 226,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,5168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,5168) x common factors =2 x 1 = 2
LCM(226,5168) = ( 226 × 5168 ) / 2
LCM(226,5168) = 1167968 / 2
LCM(226,5168) = 583984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2605,4626?
The HCF of 2605,4626 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 2605/226, 4626/5168?
Answer: GCF of Numerators as per given numbers 2605/226, 4626/5168 is
GCF of Numerators i.e. for 2605,4626 is 1
LCM of denominators i.e. for 226,5168 is 583984.
Thus, GCF of Fractions is 1/583984.Finally, GCF of Fractions for 2605/226, 4626/5168 is 1/583984.