Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 918/340,1843/1081
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 918,1843
Greatest Common Factor of Numerators i.e. GCF of 918,1843 is 1 .
LCM of Denominators means LCM of 340,1081 as per the given fractions.
LCM of 340,1081 is 367540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 918,1843
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 1843
List of positive integer factors of 1843 that divides 1843 without a remainder.
1,19,97,1843
Greatest Common Factor
We found the factors 918,1843 . The biggest common factor number is the GCF number.
So the greatest common factor 918,1843 is 1.
Lets's calculate LCM of 340,1081
Given numbers has no common factors except 1. So, there LCM is their product i.e 367540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367540
Therefore, the GCF of Fractions 918/340,1843/1081 is 1/367540
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 340,1081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,1081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,1081) x common factors =1 x 1 = 1
LCM(340,1081) = ( 340 × 1081 ) / 1
LCM(340,1081) = 367540 / 1
LCM(340,1081) = 367540
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 918/340, 1843/1081?
Answer: GCF of Numerators as per given numbers 918/340, 1843/1081 is
GCF of Numerators i.e. for 918,1843 is 1
LCM of denominators i.e. for 340,1081 is 367540.
Thus, GCF of Fractions is 1/367540.Finally, GCF of Fractions for 918/340, 1843/1081 is 1/367540.