Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/43,66/36,235/255
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 27,66,235
Greatest Common Factor of Numerators i.e. GCF of 27,66,235 is 1 .
LCM of Denominators means LCM of 43,36,255 as per the given fractions.
LCM of 43,36,255 is 131580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,66,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 27,66,235 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,235 is 1.
Lets's calculate LCM of 43,36,255
3 | 43, 36, 255 |
43, 12, 85 |
∴ So the LCM of the given numbers is 3 x 43 x 12 x 85 = 131580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131580
Therefore, the GCF of Fractions 27/43,66/36,235/255 is 1/131580
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 43,36,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,36,255) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,36,255) x common factors =1 x 3 = 3
LCM(43,36,255) = ( 43 × 36 × 255 ) / 3
LCM(43,36,255) = 394740 / 3
LCM(43,36,255) = 131580
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 27/43, 66/36, 235/255?
Answer: GCF of Numerators as per given numbers 27/43, 66/36, 235/255 is
GCF of Numerators i.e. for 27,66,235 is 1
LCM of denominators i.e. for 43,36,255 is 131580.
Thus, GCF of Fractions is 1/131580.Finally, GCF of Fractions for 27/43, 66/36, 235/255 is 1/131580.