Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 118/41,255/11,203/512
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 118,255,203
Greatest Common Factor of Numerators i.e. GCF of 118,255,203 is 1 .
LCM of Denominators means LCM of 41,11,512 as per the given fractions.
LCM of 41,11,512 is 230912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 118,255,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 118,255,203 . The biggest common factor number is the GCF number.
So the greatest common factor 118,255,203 is 1.
Lets's calculate LCM of 41,11,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 230912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230912
Therefore, the GCF of Fractions 118/41,255/11,203/512 is 1/230912
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 41,11,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,11,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,11,512) x common factors =1 x 1 = 1
LCM(41,11,512) = ( 41 × 11 × 512 ) / 1
LCM(41,11,512) = 230912 / 1
LCM(41,11,512) = 230912
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 118/41, 255/11, 203/512?
Answer: GCF of Numerators as per given numbers 118/41, 255/11, 203/512 is
GCF of Numerators i.e. for 118,255,203 is 1
LCM of denominators i.e. for 41,11,512 is 230912.
Thus, GCF of Fractions is 1/230912.Finally, GCF of Fractions for 118/41, 255/11, 203/512 is 1/230912.