Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/381,6206/289
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 741,6206
Greatest Common Factor of Numerators i.e. GCF of 741,6206 is 1 .
LCM of Denominators means LCM of 381,289 as per the given fractions.
LCM of 381,289 is 110109 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,6206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 741,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 741,6206 is 1.
Lets's calculate LCM of 381,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 110109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110109
Therefore, the GCF of Fractions 741/381,6206/289 is 1/110109
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 381,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,289) x common factors =1 x 1 = 1
LCM(381,289) = ( 381 × 289 ) / 1
LCM(381,289) = 110109 / 1
LCM(381,289) = 110109
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 741/381, 6206/289?
Answer: GCF of Numerators as per given numbers 741/381, 6206/289 is
GCF of Numerators i.e. for 741,6206 is 1
LCM of denominators i.e. for 381,289 is 110109.
Thus, GCF of Fractions is 1/110109.Finally, GCF of Fractions for 741/381, 6206/289 is 1/110109.