Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5947/970,7193/4143
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 5947,7193
Greatest Common Factor of Numerators i.e. GCF of 5947,7193 is 1 .
LCM of Denominators means LCM of 970,4143 as per the given fractions.
LCM of 970,4143 is 4018710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5947,7193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5947
List of positive integer factors of 5947 that divides 5947 without a remainder.
1,19,313,5947
Factors of 7193
List of positive integer factors of 7193 that divides 7193 without a remainder.
1,7193
Greatest Common Factor
We found the factors 5947,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 5947,7193 is 1.
Lets's calculate LCM of 970,4143
Given numbers has no common factors except 1. So, there LCM is their product i.e 4018710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4018710
Therefore, the GCF of Fractions 5947/970,7193/4143 is 1/4018710
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 970,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,4143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,4143) x common factors =1 x 1 = 1
LCM(970,4143) = ( 970 × 4143 ) / 1
LCM(970,4143) = 4018710 / 1
LCM(970,4143) = 4018710
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 5947/970, 7193/4143?
Answer: GCF of Numerators as per given numbers 5947/970, 7193/4143 is
GCF of Numerators i.e. for 5947,7193 is 1
LCM of denominators i.e. for 970,4143 is 4018710.
Thus, GCF of Fractions is 1/4018710.Finally, GCF of Fractions for 5947/970, 7193/4143 is 1/4018710.