Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1031/29,2731/819
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 1031,2731
Greatest Common Factor of Numerators i.e. GCF of 1031,2731 is 1 .
LCM of Denominators means LCM of 29,819 as per the given fractions.
LCM of 29,819 is 23751 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1031,2731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1031
List of positive integer factors of 1031 that divides 1031 without a remainder.
1,1031
Factors of 2731
List of positive integer factors of 2731 that divides 2731 without a remainder.
1,2731
Greatest Common Factor
We found the factors 1031,2731 . The biggest common factor number is the GCF number.
So the greatest common factor 1031,2731 is 1.
Lets's calculate LCM of 29,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 23751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23751
Therefore, the GCF of Fractions 1031/29,2731/819 is 1/23751
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 29,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,819) x common factors =1 x 1 = 1
LCM(29,819) = ( 29 × 819 ) / 1
LCM(29,819) = 23751 / 1
LCM(29,819) = 23751
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 1031/29, 2731/819?
Answer: GCF of Numerators as per given numbers 1031/29, 2731/819 is
GCF of Numerators i.e. for 1031,2731 is 1
LCM of denominators i.e. for 29,819 is 23751.
Thus, GCF of Fractions is 1/23751.Finally, GCF of Fractions for 1031/29, 2731/819 is 1/23751.