Use our free GCF of Fractions Calculator tool to compute the GCF of 579/616, 385/344 i.e 1/26488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/616, 385/344.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/616,385/344
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 579/616,385/344, numerators are 579,385
Denominators are 616,344
The GCF of 579,385 is 1 .
LCM of 616,344 is 26488.
The greatest common factor of 579/616,385/344 = [GCF of 579,385]/[LCM of 616,344]= 1/26488
Therefore, the GCF of 579/616,385/344 is 1/26488.
To find the highest common factor of 579,385, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The HCF of 579,385 is 1.
Lets's calculate GCF of 579,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 579,385 . The biggest common factor number is the GCF number.
So the greatest common factor 579,385 is 1.
Lets's calculate LCM of 616,344
2 | 616, 344 |
2 | 308, 172 |
2 | 154, 86 |
77, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 43 = 26488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26488
Therefore, the GCF of Fractions 579/616,385/344 is 1/26488
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 616,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(616,344) x common factors =8 x 1 = 8
LCM(616,344) = ( 616 × 344 ) / 8
LCM(616,344) = 211904 / 8
LCM(616,344) = 26488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 579,385?
The HCF of 579,385 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 579/616, 385/344?
Answer: GCF of Numerators as per given numbers 579/616, 385/344 is
GCF of Numerators i.e. for 579,385 is 1
LCM of denominators i.e. for 616,344 is 26488.
Thus, GCF of Fractions is 1/26488.Finally, GCF of Fractions for 579/616, 385/344 is 1/26488.