Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/951,369/743,815/214
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 843,369,815
Greatest Common Factor of Numerators i.e. GCF of 843,369,815 is 1 .
LCM of Denominators means LCM of 951,743,214 as per the given fractions.
LCM of 951,743,214 is 151210902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 843,369,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 843,369,815 . The biggest common factor number is the GCF number.
So the greatest common factor 843,369,815 is 1.
Lets's calculate LCM of 951,743,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 151210902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151210902
Therefore, the GCF of Fractions 843/951,369/743,815/214 is 1/151210902
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 951,743,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,743,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,743,214) x common factors =1 x 1 = 1
LCM(951,743,214) = ( 951 × 743 × 214 ) / 1
LCM(951,743,214) = 151210902 / 1
LCM(951,743,214) = 151210902
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 843/951, 369/743, 815/214?
Answer: GCF of Numerators as per given numbers 843/951, 369/743, 815/214 is
GCF of Numerators i.e. for 843,369,815 is 1
LCM of denominators i.e. for 951,743,214 is 151210902.
Thus, GCF of Fractions is 1/151210902.Finally, GCF of Fractions for 843/951, 369/743, 815/214 is 1/151210902.