Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9519/114,7235/721
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 9519,7235
Greatest Common Factor of Numerators i.e. GCF of 9519,7235 is 1 .
LCM of Denominators means LCM of 114,721 as per the given fractions.
LCM of 114,721 is 82194 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9519,7235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9519
List of positive integer factors of 9519 that divides 9519 without a remainder.
1,3,19,57,167,501,3173,9519
Factors of 7235
List of positive integer factors of 7235 that divides 7235 without a remainder.
1,5,1447,7235
Greatest Common Factor
We found the factors 9519,7235 . The biggest common factor number is the GCF number.
So the greatest common factor 9519,7235 is 1.
Lets's calculate LCM of 114,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 82194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82194
Therefore, the GCF of Fractions 9519/114,7235/721 is 1/82194
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 114,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,721) x common factors =1 x 1 = 1
LCM(114,721) = ( 114 × 721 ) / 1
LCM(114,721) = 82194 / 1
LCM(114,721) = 82194
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 9519/114, 7235/721?
Answer: GCF of Numerators as per given numbers 9519/114, 7235/721 is
GCF of Numerators i.e. for 9519,7235 is 1
LCM of denominators i.e. for 114,721 is 82194.
Thus, GCF of Fractions is 1/82194.Finally, GCF of Fractions for 9519/114, 7235/721 is 1/82194.