Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7711/25,9019/233
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 7711,9019
Greatest Common Factor of Numerators i.e. GCF of 7711,9019 is 1 .
LCM of Denominators means LCM of 25,233 as per the given fractions.
LCM of 25,233 is 5825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7711,9019
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7711
List of positive integer factors of 7711 that divides 7711 without a remainder.
1,11,701,7711
Factors of 9019
List of positive integer factors of 9019 that divides 9019 without a remainder.
1,29,311,9019
Greatest Common Factor
We found the factors 7711,9019 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,9019 is 1.
Lets's calculate LCM of 25,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 5825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5825
Therefore, the GCF of Fractions 7711/25,9019/233 is 1/5825
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 25,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,233) x common factors =1 x 1 = 1
LCM(25,233) = ( 25 × 233 ) / 1
LCM(25,233) = 5825 / 1
LCM(25,233) = 5825
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 7711/25, 9019/233?
Answer: GCF of Numerators as per given numbers 7711/25, 9019/233 is
GCF of Numerators i.e. for 7711,9019 is 1
LCM of denominators i.e. for 25,233 is 5825.
Thus, GCF of Fractions is 1/5825.Finally, GCF of Fractions for 7711/25, 9019/233 is 1/5825.