Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/65,81/27,994/703
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 18,81,994
Greatest Common Factor of Numerators i.e. GCF of 18,81,994 is 1 .
LCM of Denominators means LCM of 65,27,703 as per the given fractions.
LCM of 65,27,703 is 1233765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,81,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 18,81,994 . The biggest common factor number is the GCF number.
So the greatest common factor 18,81,994 is 1.
Lets's calculate LCM of 65,27,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 1233765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1233765
Therefore, the GCF of Fractions 18/65,81/27,994/703 is 1/1233765
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 65,27,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,27,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,27,703) x common factors =1 x 1 = 1
LCM(65,27,703) = ( 65 × 27 × 703 ) / 1
LCM(65,27,703) = 1233765 / 1
LCM(65,27,703) = 1233765
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 18/65, 81/27, 994/703?
Answer: GCF of Numerators as per given numbers 18/65, 81/27, 994/703 is
GCF of Numerators i.e. for 18,81,994 is 1
LCM of denominators i.e. for 65,27,703 is 1233765.
Thus, GCF of Fractions is 1/1233765.Finally, GCF of Fractions for 18/65, 81/27, 994/703 is 1/1233765.