Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/89,27/993,20/668
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 5,27,20
Greatest Common Factor of Numerators i.e. GCF of 5,27,20 is 1 .
LCM of Denominators means LCM of 89,993,668 as per the given fractions.
LCM of 89,993,668 is 59035836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,27,20
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 5,27,20 . The biggest common factor number is the GCF number.
So the greatest common factor 5,27,20 is 1.
Lets's calculate LCM of 89,993,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 59035836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59035836
Therefore, the GCF of Fractions 5/89,27/993,20/668 is 1/59035836
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 89,993,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,993,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,993,668) x common factors =1 x 1 = 1
LCM(89,993,668) = ( 89 × 993 × 668 ) / 1
LCM(89,993,668) = 59035836 / 1
LCM(89,993,668) = 59035836
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 5/89, 27/993, 20/668?
Answer: GCF of Numerators as per given numbers 5/89, 27/993, 20/668 is
GCF of Numerators i.e. for 5,27,20 is 1
LCM of denominators i.e. for 89,993,668 is 59035836.
Thus, GCF of Fractions is 1/59035836.Finally, GCF of Fractions for 5/89, 27/993, 20/668 is 1/59035836.