Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7115/19,7741/708
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 7115,7741
Greatest Common Factor of Numerators i.e. GCF of 7115,7741 is 1 .
LCM of Denominators means LCM of 19,708 as per the given fractions.
LCM of 19,708 is 13452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7115,7741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7115
List of positive integer factors of 7115 that divides 7115 without a remainder.
1,5,1423,7115
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 7115,7741 . The biggest common factor number is the GCF number.
So the greatest common factor 7115,7741 is 1.
Lets's calculate LCM of 19,708
Given numbers has no common factors except 1. So, there LCM is their product i.e 13452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13452
Therefore, the GCF of Fractions 7115/19,7741/708 is 1/13452
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 19,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,708) x common factors =1 x 1 = 1
LCM(19,708) = ( 19 × 708 ) / 1
LCM(19,708) = 13452 / 1
LCM(19,708) = 13452
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 7115/19, 7741/708?
Answer: GCF of Numerators as per given numbers 7115/19, 7741/708 is
GCF of Numerators i.e. for 7115,7741 is 1
LCM of denominators i.e. for 19,708 is 13452.
Thus, GCF of Fractions is 1/13452.Finally, GCF of Fractions for 7115/19, 7741/708 is 1/13452.