Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2536/177,5193/487
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 2536,5193
Greatest Common Factor of Numerators i.e. GCF of 2536,5193 is 1 .
LCM of Denominators means LCM of 177,487 as per the given fractions.
LCM of 177,487 is 86199 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2536,5193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2536
List of positive integer factors of 2536 that divides 2536 without a remainder.
1,2,4,8,317,634,1268,2536
Factors of 5193
List of positive integer factors of 5193 that divides 5193 without a remainder.
1,3,9,577,1731,5193
Greatest Common Factor
We found the factors 2536,5193 . The biggest common factor number is the GCF number.
So the greatest common factor 2536,5193 is 1.
Lets's calculate LCM of 177,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 86199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86199
Therefore, the GCF of Fractions 2536/177,5193/487 is 1/86199
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 177,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,487) x common factors =1 x 1 = 1
LCM(177,487) = ( 177 × 487 ) / 1
LCM(177,487) = 86199 / 1
LCM(177,487) = 86199
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 2536/177, 5193/487?
Answer: GCF of Numerators as per given numbers 2536/177, 5193/487 is
GCF of Numerators i.e. for 2536,5193 is 1
LCM of denominators i.e. for 177,487 is 86199.
Thus, GCF of Fractions is 1/86199.Finally, GCF of Fractions for 2536/177, 5193/487 is 1/86199.