Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/81,458/4943
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 219,458
Greatest Common Factor of Numerators i.e. GCF of 219,458 is 1 .
LCM of Denominators means LCM of 81,4943 as per the given fractions.
LCM of 81,4943 is 400383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 219,458 . The biggest common factor number is the GCF number.
So the greatest common factor 219,458 is 1.
Lets's calculate LCM of 81,4943
Given numbers has no common factors except 1. So, there LCM is their product i.e 400383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400383
Therefore, the GCF of Fractions 219/81,458/4943 is 1/400383
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 81,4943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,4943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,4943) x common factors =1 x 1 = 1
LCM(81,4943) = ( 81 × 4943 ) / 1
LCM(81,4943) = 400383 / 1
LCM(81,4943) = 400383
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 219/81, 458/4943?
Answer: GCF of Numerators as per given numbers 219/81, 458/4943 is
GCF of Numerators i.e. for 219,458 is 1
LCM of denominators i.e. for 81,4943 is 400383.
Thus, GCF of Fractions is 1/400383.Finally, GCF of Fractions for 219/81, 458/4943 is 1/400383.