Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 287/665,7648/908
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 287,7648
Greatest Common Factor of Numerators i.e. GCF of 287,7648 is 1 .
LCM of Denominators means LCM of 665,908 as per the given fractions.
LCM of 665,908 is 603820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 287,7648
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 7648
List of positive integer factors of 7648 that divides 7648 without a remainder.
1,2,4,8,16,32,239,478,956,1912,3824,7648
Greatest Common Factor
We found the factors 287,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 287,7648 is 1.
Lets's calculate LCM of 665,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 603820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603820
Therefore, the GCF of Fractions 287/665,7648/908 is 1/603820
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 665,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,908) x common factors =1 x 1 = 1
LCM(665,908) = ( 665 × 908 ) / 1
LCM(665,908) = 603820 / 1
LCM(665,908) = 603820
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 287/665, 7648/908?
Answer: GCF of Numerators as per given numbers 287/665, 7648/908 is
GCF of Numerators i.e. for 287,7648 is 1
LCM of denominators i.e. for 665,908 is 603820.
Thus, GCF of Fractions is 1/603820.Finally, GCF of Fractions for 287/665, 7648/908 is 1/603820.