Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6600/855,9891/1243
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 6600,9891
Greatest Common Factor of Numerators i.e. GCF of 6600,9891 is 3 .
LCM of Denominators means LCM of 855,1243 as per the given fractions.
LCM of 855,1243 is 1062765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6600,9891
3 | 6600, 9891 |
2200, 3297 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6600
List of positive integer factors of 6600 that divides 6600 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Factors of 9891
List of positive integer factors of 9891 that divides 9891 without a remainder.
1,3,7,9,21,63,157,471,1099,1413,3297,9891
Greatest Common Factor
We found the factors 6600,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 6600,9891 is 3.
Lets's calculate LCM of 855,1243
Given numbers has no common factors except 1. So, there LCM is their product i.e 1062765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1062765
Therefore, the GCF of Fractions 6600/855,9891/1243 is 3/1062765
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 855,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,1243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,1243) x common factors =1 x 1 = 1
LCM(855,1243) = ( 855 × 1243 ) / 1
LCM(855,1243) = 1062765 / 1
LCM(855,1243) = 1062765
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 6600/855, 9891/1243?
Answer: GCF of Numerators as per given numbers 6600/855, 9891/1243 is
GCF of Numerators i.e. for 6600,9891 is 3
LCM of denominators i.e. for 855,1243 is 1062765.
Thus, GCF of Fractions is 3/1062765.Finally, GCF of Fractions for 6600/855, 9891/1243 is 3/1062765.