Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3387/279,4796/283
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 3387,4796
Greatest Common Factor of Numerators i.e. GCF of 3387,4796 is 1 .
LCM of Denominators means LCM of 279,283 as per the given fractions.
LCM of 279,283 is 78957 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3387,4796
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3387
List of positive integer factors of 3387 that divides 3387 without a remainder.
1,3,1129,3387
Factors of 4796
List of positive integer factors of 4796 that divides 4796 without a remainder.
1,2,4,11,22,44,109,218,436,1199,2398,4796
Greatest Common Factor
We found the factors 3387,4796 . The biggest common factor number is the GCF number.
So the greatest common factor 3387,4796 is 1.
Lets's calculate LCM of 279,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 78957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78957
Therefore, the GCF of Fractions 3387/279,4796/283 is 1/78957
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 279,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,283) x common factors =1 x 1 = 1
LCM(279,283) = ( 279 × 283 ) / 1
LCM(279,283) = 78957 / 1
LCM(279,283) = 78957
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 3387/279, 4796/283?
Answer: GCF of Numerators as per given numbers 3387/279, 4796/283 is
GCF of Numerators i.e. for 3387,4796 is 1
LCM of denominators i.e. for 279,283 is 78957.
Thus, GCF of Fractions is 1/78957.Finally, GCF of Fractions for 3387/279, 4796/283 is 1/78957.