Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/13,93/73,899/555
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 68,93,899
Greatest Common Factor of Numerators i.e. GCF of 68,93,899 is 1 .
LCM of Denominators means LCM of 13,73,555 as per the given fractions.
LCM of 13,73,555 is 526695 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,93,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 68,93,899 . The biggest common factor number is the GCF number.
So the greatest common factor 68,93,899 is 1.
Lets's calculate LCM of 13,73,555
Given numbers has no common factors except 1. So, there LCM is their product i.e 526695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526695
Therefore, the GCF of Fractions 68/13,93/73,899/555 is 1/526695
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 13,73,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,73,555) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,73,555) x common factors =1 x 1 = 1
LCM(13,73,555) = ( 13 × 73 × 555 ) / 1
LCM(13,73,555) = 526695 / 1
LCM(13,73,555) = 526695
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 68/13, 93/73, 899/555?
Answer: GCF of Numerators as per given numbers 68/13, 93/73, 899/555 is
GCF of Numerators i.e. for 68,93,899 is 1
LCM of denominators i.e. for 13,73,555 is 526695.
Thus, GCF of Fractions is 1/526695.Finally, GCF of Fractions for 68/13, 93/73, 899/555 is 1/526695.