Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6043/205,3070/191
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 6043,3070
Greatest Common Factor of Numerators i.e. GCF of 6043,3070 is 1 .
LCM of Denominators means LCM of 205,191 as per the given fractions.
LCM of 205,191 is 39155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6043,3070
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6043
List of positive integer factors of 6043 that divides 6043 without a remainder.
1,6043
Factors of 3070
List of positive integer factors of 3070 that divides 3070 without a remainder.
1,2,5,10,307,614,1535,3070
Greatest Common Factor
We found the factors 6043,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 6043,3070 is 1.
Lets's calculate LCM of 205,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 39155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39155
Therefore, the GCF of Fractions 6043/205,3070/191 is 1/39155
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 205,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,191) x common factors =1 x 1 = 1
LCM(205,191) = ( 205 × 191 ) / 1
LCM(205,191) = 39155 / 1
LCM(205,191) = 39155
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 6043/205, 3070/191?
Answer: GCF of Numerators as per given numbers 6043/205, 3070/191 is
GCF of Numerators i.e. for 6043,3070 is 1
LCM of denominators i.e. for 205,191 is 39155.
Thus, GCF of Fractions is 1/39155.Finally, GCF of Fractions for 6043/205, 3070/191 is 1/39155.