Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/44,41/81,113/874
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 81,41,113
Greatest Common Factor of Numerators i.e. GCF of 81,41,113 is 1 .
LCM of Denominators means LCM of 44,81,874 as per the given fractions.
LCM of 44,81,874 is 1557468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,41,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 81,41,113 . The biggest common factor number is the GCF number.
So the greatest common factor 81,41,113 is 1.
Lets's calculate LCM of 44,81,874
2 | 44, 81, 874 |
22, 81, 437 |
∴ So the LCM of the given numbers is 2 x 22 x 81 x 437 = 1557468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1557468
Therefore, the GCF of Fractions 81/44,41/81,113/874 is 1/1557468
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 44,81,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,81,874) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,81,874) x common factors =1 x 2 = 2
LCM(44,81,874) = ( 44 × 81 × 874 ) / 2
LCM(44,81,874) = 3114936 / 2
LCM(44,81,874) = 1557468
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 81/44, 41/81, 113/874?
Answer: GCF of Numerators as per given numbers 81/44, 41/81, 113/874 is
GCF of Numerators i.e. for 81,41,113 is 1
LCM of denominators i.e. for 44,81,874 is 1557468.
Thus, GCF of Fractions is 1/1557468.Finally, GCF of Fractions for 81/44, 41/81, 113/874 is 1/1557468.