Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 909/14,287/85,435/117
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 909,287,435
Greatest Common Factor of Numerators i.e. GCF of 909,287,435 is 1 .
LCM of Denominators means LCM of 14,85,117 as per the given fractions.
LCM of 14,85,117 is 139230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 909,287,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 909,287,435 . The biggest common factor number is the GCF number.
So the greatest common factor 909,287,435 is 1.
Lets's calculate LCM of 14,85,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 139230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139230
Therefore, the GCF of Fractions 909/14,287/85,435/117 is 1/139230
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 14,85,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,85,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,85,117) x common factors =1 x 1 = 1
LCM(14,85,117) = ( 14 × 85 × 117 ) / 1
LCM(14,85,117) = 139230 / 1
LCM(14,85,117) = 139230
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 909/14, 287/85, 435/117?
Answer: GCF of Numerators as per given numbers 909/14, 287/85, 435/117 is
GCF of Numerators i.e. for 909,287,435 is 1
LCM of denominators i.e. for 14,85,117 is 139230.
Thus, GCF of Fractions is 1/139230.Finally, GCF of Fractions for 909/14, 287/85, 435/117 is 1/139230.