Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 723/9872,241/3931
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 723,241
Greatest Common Factor of Numerators i.e. GCF of 723,241 is 241 .
LCM of Denominators means LCM of 9872,3931 as per the given fractions.
LCM of 9872,3931 is 38806832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 723,241
241 | 723, 241 |
3, 1 |
∴ So the GCF of the given numbers is 241 = 241
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors 723,241 . The biggest common factor number is the GCF number.
So the greatest common factor 723,241 is 241.
Lets's calculate LCM of 9872,3931
Given numbers has no common factors except 1. So, there LCM is their product i.e 38806832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 241/38806832
Therefore, the GCF of Fractions 723/9872,241/3931 is 241/38806832
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 9872,3931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9872,3931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9872,3931) x common factors =1 x 1 = 1
LCM(9872,3931) = ( 9872 × 3931 ) / 1
LCM(9872,3931) = 38806832 / 1
LCM(9872,3931) = 38806832
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 723/9872, 241/3931?
Answer: GCF of Numerators as per given numbers 723/9872, 241/3931 is
GCF of Numerators i.e. for 723,241 is 241
LCM of denominators i.e. for 9872,3931 is 38806832.
Thus, GCF of Fractions is 241/38806832.Finally, GCF of Fractions for 723/9872, 241/3931 is 241/38806832.