Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9415/11,6710/760
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 9415,6710
Greatest Common Factor of Numerators i.e. GCF of 9415,6710 is 5 .
LCM of Denominators means LCM of 11,760 as per the given fractions.
LCM of 11,760 is 8360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9415,6710
5 | 9415, 6710 |
1883, 1342 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9415
List of positive integer factors of 9415 that divides 9415 without a remainder.
1,5,7,35,269,1345,1883,9415
Factors of 6710
List of positive integer factors of 6710 that divides 6710 without a remainder.
1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors 9415,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 9415,6710 is 5.
Lets's calculate LCM of 11,760
Given numbers has no common factors except 1. So, there LCM is their product i.e 8360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8360
Therefore, the GCF of Fractions 9415/11,6710/760 is 5/8360
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 11,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,760) x common factors =1 x 1 = 1
LCM(11,760) = ( 11 × 760 ) / 1
LCM(11,760) = 8360 / 1
LCM(11,760) = 8360
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 9415/11, 6710/760?
Answer: GCF of Numerators as per given numbers 9415/11, 6710/760 is
GCF of Numerators i.e. for 9415,6710 is 5
LCM of denominators i.e. for 11,760 is 8360.
Thus, GCF of Fractions is 5/8360.Finally, GCF of Fractions for 9415/11, 6710/760 is 5/8360.