Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5193/783,7633/295
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 5193,7633
Greatest Common Factor of Numerators i.e. GCF of 5193,7633 is 1 .
LCM of Denominators means LCM of 783,295 as per the given fractions.
LCM of 783,295 is 230985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5193,7633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5193
List of positive integer factors of 5193 that divides 5193 without a remainder.
1,3,9,577,1731,5193
Factors of 7633
List of positive integer factors of 7633 that divides 7633 without a remainder.
1,17,449,7633
Greatest Common Factor
We found the factors 5193,7633 . The biggest common factor number is the GCF number.
So the greatest common factor 5193,7633 is 1.
Lets's calculate LCM of 783,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 230985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230985
Therefore, the GCF of Fractions 5193/783,7633/295 is 1/230985
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 783,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,295) x common factors =1 x 1 = 1
LCM(783,295) = ( 783 × 295 ) / 1
LCM(783,295) = 230985 / 1
LCM(783,295) = 230985
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 5193/783, 7633/295?
Answer: GCF of Numerators as per given numbers 5193/783, 7633/295 is
GCF of Numerators i.e. for 5193,7633 is 1
LCM of denominators i.e. for 783,295 is 230985.
Thus, GCF of Fractions is 1/230985.Finally, GCF of Fractions for 5193/783, 7633/295 is 1/230985.