Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5147/46,8199/331
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 5147,8199
Greatest Common Factor of Numerators i.e. GCF of 5147,8199 is 1 .
LCM of Denominators means LCM of 46,331 as per the given fractions.
LCM of 46,331 is 15226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5147,8199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5147
List of positive integer factors of 5147 that divides 5147 without a remainder.
1,5147
Factors of 8199
List of positive integer factors of 8199 that divides 8199 without a remainder.
1,3,9,911,2733,8199
Greatest Common Factor
We found the factors 5147,8199 . The biggest common factor number is the GCF number.
So the greatest common factor 5147,8199 is 1.
Lets's calculate LCM of 46,331
Given numbers has no common factors except 1. So, there LCM is their product i.e 15226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15226
Therefore, the GCF of Fractions 5147/46,8199/331 is 1/15226
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 46,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,331) x common factors =1 x 1 = 1
LCM(46,331) = ( 46 × 331 ) / 1
LCM(46,331) = 15226 / 1
LCM(46,331) = 15226
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 5147/46, 8199/331?
Answer: GCF of Numerators as per given numbers 5147/46, 8199/331 is
GCF of Numerators i.e. for 5147,8199 is 1
LCM of denominators i.e. for 46,331 is 15226.
Thus, GCF of Fractions is 1/15226.Finally, GCF of Fractions for 5147/46, 8199/331 is 1/15226.