Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/5769,956/9835
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 385,956
Greatest Common Factor of Numerators i.e. GCF of 385,956 is 1 .
LCM of Denominators means LCM of 5769,9835 as per the given fractions.
LCM of 5769,9835 is 56738115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 385,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 385,956 . The biggest common factor number is the GCF number.
So the greatest common factor 385,956 is 1.
Lets's calculate LCM of 5769,9835
Given numbers has no common factors except 1. So, there LCM is their product i.e 56738115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56738115
Therefore, the GCF of Fractions 385/5769,956/9835 is 1/56738115
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 5769,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5769,9835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5769,9835) x common factors =1 x 1 = 1
LCM(5769,9835) = ( 5769 × 9835 ) / 1
LCM(5769,9835) = 56738115 / 1
LCM(5769,9835) = 56738115
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 385/5769, 956/9835?
Answer: GCF of Numerators as per given numbers 385/5769, 956/9835 is
GCF of Numerators i.e. for 385,956 is 1
LCM of denominators i.e. for 5769,9835 is 56738115.
Thus, GCF of Fractions is 1/56738115.Finally, GCF of Fractions for 385/5769, 956/9835 is 1/56738115.