Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/78,43/56,255/68
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 33,43,255
Greatest Common Factor of Numerators i.e. GCF of 33,43,255 is 1 .
LCM of Denominators means LCM of 78,56,68 as per the given fractions.
LCM of 78,56,68 is 37128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,43,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 33,43,255 . The biggest common factor number is the GCF number.
So the greatest common factor 33,43,255 is 1.
Lets's calculate LCM of 78,56,68
2 | 78, 56, 68 |
2 | 39, 28, 34 |
39, 14, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 14 x 17 = 37128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37128
Therefore, the GCF of Fractions 33/78,43/56,255/68 is 1/37128
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 78,56,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,56,68) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(78,56,68) x common factors =2 x 4 = 8
LCM(78,56,68) = ( 78 × 56 × 68 ) / 8
LCM(78,56,68) = 297024 / 8
LCM(78,56,68) = 37128
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 33/78, 43/56, 255/68?
Answer: GCF of Numerators as per given numbers 33/78, 43/56, 255/68 is
GCF of Numerators i.e. for 33,43,255 is 1
LCM of denominators i.e. for 78,56,68 is 37128.
Thus, GCF of Fractions is 1/37128.Finally, GCF of Fractions for 33/78, 43/56, 255/68 is 1/37128.