Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/289,4275/268
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 307,4275
Greatest Common Factor of Numerators i.e. GCF of 307,4275 is 1 .
LCM of Denominators means LCM of 289,268 as per the given fractions.
LCM of 289,268 is 77452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,4275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 4275
List of positive integer factors of 4275 that divides 4275 without a remainder.
1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Greatest Common Factor
We found the factors 307,4275 . The biggest common factor number is the GCF number.
So the greatest common factor 307,4275 is 1.
Lets's calculate LCM of 289,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 77452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77452
Therefore, the GCF of Fractions 307/289,4275/268 is 1/77452
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 289,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,268) x common factors =1 x 1 = 1
LCM(289,268) = ( 289 × 268 ) / 1
LCM(289,268) = 77452 / 1
LCM(289,268) = 77452
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 307/289, 4275/268?
Answer: GCF of Numerators as per given numbers 307/289, 4275/268 is
GCF of Numerators i.e. for 307,4275 is 1
LCM of denominators i.e. for 289,268 is 77452.
Thus, GCF of Fractions is 1/77452.Finally, GCF of Fractions for 307/289, 4275/268 is 1/77452.