Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/89,43/53,65/75,55/227
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 12,43,65,55
Greatest Common Factor of Numerators i.e. GCF of 12,43,65,55 is 1 .
LCM of Denominators means LCM of 89,53,75,227 as per the given fractions.
LCM of 89,53,75,227 is 80306925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,43,65,55
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors 12,43,65,55 . The biggest common factor number is the GCF number.
So the greatest common factor 12,43,65,55 is 1.
Lets's calculate LCM of 89,53,75,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 80306925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80306925
Therefore, the GCF of Fractions 12/89,43/53,65/75,55/227 is 1/80306925
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 89,53,75,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,53,75,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,53,75,227) x common factors =1 x 1 = 1
LCM(89,53,75,227) = ( 89 × 53 × 75 × 227 ) / 1
LCM(89,53,75,227) = 80306925 / 1
LCM(89,53,75,227) = 80306925
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 12/89, 43/53, 65/75, 55/227?
Answer: GCF of Numerators as per given numbers 12/89, 43/53, 65/75, 55/227 is
GCF of Numerators i.e. for 12,43,65,55 is 1
LCM of denominators i.e. for 89,53,75,227 is 80306925.
Thus, GCF of Fractions is 1/80306925.Finally, GCF of Fractions for 12/89, 43/53, 65/75, 55/227 is 1/80306925.