Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3950/81,5013/799
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 3950,5013
Greatest Common Factor of Numerators i.e. GCF of 3950,5013 is 1 .
LCM of Denominators means LCM of 81,799 as per the given fractions.
LCM of 81,799 is 64719 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3950,5013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3950
List of positive integer factors of 3950 that divides 3950 without a remainder.
1,2,5,10,25,50,79,158,395,790,1975,3950
Factors of 5013
List of positive integer factors of 5013 that divides 5013 without a remainder.
1,3,9,557,1671,5013
Greatest Common Factor
We found the factors 3950,5013 . The biggest common factor number is the GCF number.
So the greatest common factor 3950,5013 is 1.
Lets's calculate LCM of 81,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 64719
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64719
Therefore, the GCF of Fractions 3950/81,5013/799 is 1/64719
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 81,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,799) x common factors =1 x 1 = 1
LCM(81,799) = ( 81 × 799 ) / 1
LCM(81,799) = 64719 / 1
LCM(81,799) = 64719
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 3950/81, 5013/799?
Answer: GCF of Numerators as per given numbers 3950/81, 5013/799 is
GCF of Numerators i.e. for 3950,5013 is 1
LCM of denominators i.e. for 81,799 is 64719.
Thus, GCF of Fractions is 1/64719.Finally, GCF of Fractions for 3950/81, 5013/799 is 1/64719.