Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/82,66/81,974/43
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 27,66,974
Greatest Common Factor of Numerators i.e. GCF of 27,66,974 is 1 .
LCM of Denominators means LCM of 82,81,43 as per the given fractions.
LCM of 82,81,43 is 285606 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,66,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 27,66,974 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,974 is 1.
Lets's calculate LCM of 82,81,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 285606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285606
Therefore, the GCF of Fractions 27/82,66/81,974/43 is 1/285606
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 82,81,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,81,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,81,43) x common factors =1 x 1 = 1
LCM(82,81,43) = ( 82 × 81 × 43 ) / 1
LCM(82,81,43) = 285606 / 1
LCM(82,81,43) = 285606
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 27/82, 66/81, 974/43?
Answer: GCF of Numerators as per given numbers 27/82, 66/81, 974/43 is
GCF of Numerators i.e. for 27,66,974 is 1
LCM of denominators i.e. for 82,81,43 is 285606.
Thus, GCF of Fractions is 1/285606.Finally, GCF of Fractions for 27/82, 66/81, 974/43 is 1/285606.