Use our free GCF of Fractions Calculator tool to compute the GCF of 1586/939, 7215/6343 i.e 13/5956077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1586/939, 7215/6343.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1586/939,7215/6343
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 1586/939,7215/6343, numerators are 1586,7215
Denominators are 939,6343
The GCF of 1586,7215 is 13 .
LCM of 939,6343 is 5956077.
The greatest common factor of 1586/939,7215/6343 = [GCF of 1586,7215]/[LCM of 939,6343]= 13/5956077
Therefore, the GCF of 1586/939,7215/6343 is 13/5956077.
To find the highest common factor of 1586,7215, we have to find the factors of both numbers and list the highest common factor.
The factors of 1586 are 1, 2, 13, 26, 61, 122, 793, 1586
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The HCF of 1586,7215 is 13.
Lets's calculate GCF of 1586,7215
13 | 1586, 7215 |
122, 555 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 1586
:1,2,13,26,61,122,793,1586
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 1586,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 1586,7215 is 13.
Lets's calculate LCM of 939,6343
Given numbers has no common factors except 1. So, there LCM is their product i.e 5956077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5956077
Therefore, the GCF of Fractions 1586/939,7215/6343 is 13/5956077
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 939,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,6343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,6343) x common factors =1 x 1 = 1
LCM(939,6343) = ( 939 × 6343 ) / 1
LCM(939,6343) = 5956077 / 1
LCM(939,6343) = 5956077
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1586,7215?
The HCF of 1586,7215 is 13
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 1586/939, 7215/6343?
Answer: GCF of Numerators as per given numbers 1586/939, 7215/6343 is
GCF of Numerators i.e. for 1586,7215 is 13
LCM of denominators i.e. for 939,6343 is 5956077.
Thus, GCF of Fractions is 13/5956077.Finally, GCF of Fractions for 1586/939, 7215/6343 is 13/5956077.