Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7811/20,7741/103
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 7811,7741
Greatest Common Factor of Numerators i.e. GCF of 7811,7741 is 1 .
LCM of Denominators means LCM of 20,103 as per the given fractions.
LCM of 20,103 is 2060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7811,7741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1,73,107,7811
Factors of 7741
List of positive integer factors of 7741 that divides 7741 without a remainder.
1,7741
Greatest Common Factor
We found the factors 7811,7741 . The biggest common factor number is the GCF number.
So the greatest common factor 7811,7741 is 1.
Lets's calculate LCM of 20,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 2060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2060
Therefore, the GCF of Fractions 7811/20,7741/103 is 1/2060
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 20,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,103) x common factors =1 x 1 = 1
LCM(20,103) = ( 20 × 103 ) / 1
LCM(20,103) = 2060 / 1
LCM(20,103) = 2060
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 7811/20, 7741/103?
Answer: GCF of Numerators as per given numbers 7811/20, 7741/103 is
GCF of Numerators i.e. for 7811,7741 is 1
LCM of denominators i.e. for 20,103 is 2060.
Thus, GCF of Fractions is 1/2060.Finally, GCF of Fractions for 7811/20, 7741/103 is 1/2060.