Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3314/31,1949/291
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 3314,1949
Greatest Common Factor of Numerators i.e. GCF of 3314,1949 is 1 .
LCM of Denominators means LCM of 31,291 as per the given fractions.
LCM of 31,291 is 9021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3314,1949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3314
List of positive integer factors of 3314 that divides 3314 without a remainder.
1,2,1657,3314
Factors of 1949
List of positive integer factors of 1949 that divides 1949 without a remainder.
1,1949
Greatest Common Factor
We found the factors 3314,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,1949 is 1.
Lets's calculate LCM of 31,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 9021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9021
Therefore, the GCF of Fractions 3314/31,1949/291 is 1/9021
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 31,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,291) x common factors =1 x 1 = 1
LCM(31,291) = ( 31 × 291 ) / 1
LCM(31,291) = 9021 / 1
LCM(31,291) = 9021
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 3314/31, 1949/291?
Answer: GCF of Numerators as per given numbers 3314/31, 1949/291 is
GCF of Numerators i.e. for 3314,1949 is 1
LCM of denominators i.e. for 31,291 is 9021.
Thus, GCF of Fractions is 1/9021.Finally, GCF of Fractions for 3314/31, 1949/291 is 1/9021.