Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5741/14,8644/787
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 5741,8644
Greatest Common Factor of Numerators i.e. GCF of 5741,8644 is 1 .
LCM of Denominators means LCM of 14,787 as per the given fractions.
LCM of 14,787 is 11018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5741,8644
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5741
List of positive integer factors of 5741 that divides 5741 without a remainder.
1,5741
Factors of 8644
List of positive integer factors of 8644 that divides 8644 without a remainder.
1,2,4,2161,4322,8644
Greatest Common Factor
We found the factors 5741,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 5741,8644 is 1.
Lets's calculate LCM of 14,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 11018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11018
Therefore, the GCF of Fractions 5741/14,8644/787 is 1/11018
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 14,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,787) x common factors =1 x 1 = 1
LCM(14,787) = ( 14 × 787 ) / 1
LCM(14,787) = 11018 / 1
LCM(14,787) = 11018
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 5741/14, 8644/787?
Answer: GCF of Numerators as per given numbers 5741/14, 8644/787 is
GCF of Numerators i.e. for 5741,8644 is 1
LCM of denominators i.e. for 14,787 is 11018.
Thus, GCF of Fractions is 1/11018.Finally, GCF of Fractions for 5741/14, 8644/787 is 1/11018.