Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 247/307,3307/266
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 247,3307
Greatest Common Factor of Numerators i.e. GCF of 247,3307 is 1 .
LCM of Denominators means LCM of 307,266 as per the given fractions.
LCM of 307,266 is 81662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 247,3307
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 3307
List of positive integer factors of 3307 that divides 3307 without a remainder.
1,3307
Greatest Common Factor
We found the factors 247,3307 . The biggest common factor number is the GCF number.
So the greatest common factor 247,3307 is 1.
Lets's calculate LCM of 307,266
Given numbers has no common factors except 1. So, there LCM is their product i.e 81662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81662
Therefore, the GCF of Fractions 247/307,3307/266 is 1/81662
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 307,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,266) x common factors =1 x 1 = 1
LCM(307,266) = ( 307 × 266 ) / 1
LCM(307,266) = 81662 / 1
LCM(307,266) = 81662
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 247/307, 3307/266?
Answer: GCF of Numerators as per given numbers 247/307, 3307/266 is
GCF of Numerators i.e. for 247,3307 is 1
LCM of denominators i.e. for 307,266 is 81662.
Thus, GCF of Fractions is 1/81662.Finally, GCF of Fractions for 247/307, 3307/266 is 1/81662.