Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8118/64,8505/865
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 8118,8505
Greatest Common Factor of Numerators i.e. GCF of 8118,8505 is 9 .
LCM of Denominators means LCM of 64,865 as per the given fractions.
LCM of 64,865 is 55360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8118,8505
3 | 8118, 8505 |
3 | 2706, 2835 |
902, 945 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 8118
List of positive integer factors of 8118 that divides 8118 without a remainder.
1,2,3,6,9,11,18,22,33,41,66,82,99,123,198,246,369,451,738,902,1353,2706,4059,8118
Factors of 8505
List of positive integer factors of 8505 that divides 8505 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 8118,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 8118,8505 is 9.
Lets's calculate LCM of 64,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 55360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/55360
Therefore, the GCF of Fractions 8118/64,8505/865 is 9/55360
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 64,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,865) x common factors =1 x 1 = 1
LCM(64,865) = ( 64 × 865 ) / 1
LCM(64,865) = 55360 / 1
LCM(64,865) = 55360
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 8118/64, 8505/865?
Answer: GCF of Numerators as per given numbers 8118/64, 8505/865 is
GCF of Numerators i.e. for 8118,8505 is 9
LCM of denominators i.e. for 64,865 is 55360.
Thus, GCF of Fractions is 9/55360.Finally, GCF of Fractions for 8118/64, 8505/865 is 9/55360.